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If 8x > 4 + 6x, what is the value of the integer x?
(1) 6 – 5x > -13
(2) 3 – 2x < -x + 4 < 7.2 – 2x
(2) 3 – 2x < -x + 4 < 7.2 – 2x
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x...
Statement 1: 6 – 5x > -13
This statement provides an additional inequality. By solving this inequality, we can determine the range of values for x. Solving it:
6 - 5x > -13
Add 5x to both sides:
6 > -13 + 5x
19 > 5x
Divide both sides by 5 (since the inequality sign doesn't change when dividing by a positive number):
19/5 > x
x < 19/5
This statement provides an additional inequality. By solving this inequality, we can determine the range of values for x. Solving it:
6 - 5x > -13
Add 5x to both sides:
6 > -13 + 5x
19 > 5x
Divide both sides by 5 (since the inequality sign doesn't change when dividing by a positive number):
19/5 > x
x < 19/5
Statement 1 alone is sufficient to determine a range for x, but it doesn't provide an exact value for x.
Statement 2: 3 – 2x < -x + 4 < 7.2 – 2x
This statement provides a compound inequality. By solving this compound inequality, we can determine the range of values for x. Solving it:
3 - 2x < -x + 4 < 7.2 - 2x
We can simplify it by subtracting x from all parts of the inequality:
3 - 3x < 4 < 7.2 - 3x
Simplify further:
-3x + 3 < 4 < -3x + 7.2
Now we have two separate inequalities:
-3x + 3 < 4
4 < -3x + 7.2
This statement provides a compound inequality. By solving this compound inequality, we can determine the range of values for x. Solving it:
3 - 2x < -x + 4 < 7.2 - 2x
We can simplify it by subtracting x from all parts of the inequality:
3 - 3x < 4 < 7.2 - 3x
Simplify further:
-3x + 3 < 4 < -3x + 7.2
Now we have two separate inequalities:
-3x + 3 < 4
4 < -3x + 7.2
Solving the first inequality:
-3x < 1
Divide by -3 (remember to reverse the inequality sign since we're dividing by a negative number):
x > -1/3
-3x < 1
Divide by -3 (remember to reverse the inequality sign since we're dividing by a negative number):
x > -1/3
Solving the second inequality:
4 < -3x + 7.2
-3x < 3.2
Divide by -3 (reverse the inequality sign):
x > -3.2/3
4 < -3x + 7.2
-3x < 3.2
Divide by -3 (reverse the inequality sign):
x > -3.2/3
Combining the two inequalities, we have:
x > -1/3 and x > -3.2/3
x > -1/3 and x > -3.2/3
To find the common range of values for x, we take the greater of the two lower bounds, which is x > -1/3.
Statement 2 alone is sufficient to determine a range for x, but it doesn't provide an exact value for x.
Considering both statements together:
From statement 1, we know that x < 19/5, which gives us an upper bound for x.
From statement 2, we know that x > -1/3, which gives us a lower bound for x.
From statement 1, we know that x < 19/5, which gives us an upper bound for x.
From statement 2, we know that x > -1/3, which gives us a lower bound for x.
Combining the information, we have:
-1/3 < x < 19/5
-1/3 < x < 19/5
Therefore, with both statements together, we have a range for x but not an exact value.
The answer is option D: EACH statement ALONE is sufficient to answer the question asked.
Most Upvoted Answer
If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x...
Statement 1: 6 – 5x > -13
This statement provides an additional inequality. By solving this inequality, we can determine the range of values for x. Solving it:
6 - 5x > -13
Add 5x to both sides:
6 > -13 + 5x
19 > 5x
Divide both sides by 5 (since the inequality sign doesn't change when dividing by a positive number):
19/5 > x
x < 19/5
This statement provides an additional inequality. By solving this inequality, we can determine the range of values for x. Solving it:
6 - 5x > -13
Add 5x to both sides:
6 > -13 + 5x
19 > 5x
Divide both sides by 5 (since the inequality sign doesn't change when dividing by a positive number):
19/5 > x
x < 19/5
Statement 1 alone is sufficient to determine a range for x, but it doesn't provide an exact value for x.
Statement 2: 3 – 2x < -x + 4 < 7.2 – 2x
This statement provides a compound inequality. By solving this compound inequality, we can determine the range of values for x. Solving it:
3 - 2x < -x + 4 < 7.2 - 2x
We can simplify it by subtracting x from all parts of the inequality:
3 - 3x < 4 < 7.2 - 3x
Simplify further:
-3x + 3 < 4 < -3x + 7.2
Now we have two separate inequalities:
-3x + 3 < 4
4 < -3x + 7.2
This statement provides a compound inequality. By solving this compound inequality, we can determine the range of values for x. Solving it:
3 - 2x < -x + 4 < 7.2 - 2x
We can simplify it by subtracting x from all parts of the inequality:
3 - 3x < 4 < 7.2 - 3x
Simplify further:
-3x + 3 < 4 < -3x + 7.2
Now we have two separate inequalities:
-3x + 3 < 4
4 < -3x + 7.2
Solving the first inequality:
-3x < 1
Divide by -3 (remember to reverse the inequality sign since we're dividing by a negative number):
x > -1/3
-3x < 1
Divide by -3 (remember to reverse the inequality sign since we're dividing by a negative number):
x > -1/3
Solving the second inequality:
4 < -3x + 7.2
-3x < 3.2
Divide by -3 (reverse the inequality sign):
x > -3.2/3
4 < -3x + 7.2
-3x < 3.2
Divide by -3 (reverse the inequality sign):
x > -3.2/3
Combining the two inequalities, we have:
x > -1/3 and x > -3.2/3
x > -1/3 and x > -3.2/3
To find the common range of values for x, we take the greater of the two lower bounds, which is x > -1/3.
Statement 2 alone is sufficient to determine a range for x, but it doesn't provide an exact value for x.
Considering both statements together:
From statement 1, we know that x < 19/5, which gives us an upper bound for x.
From statement 2, we know that x > -1/3, which gives us a lower bound for x.
From statement 1, we know that x < 19/5, which gives us an upper bound for x.
From statement 2, we know that x > -1/3, which gives us a lower bound for x.
Combining the information, we have:
-1/3 < x < 19/5
-1/3 < x < 19/5
Therefore, with both statements together, we have a range for x but not an exact value.
The answer is option D: EACH statement ALONE is sufficient to answer the question asked.
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If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?
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If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If 8x > 4 + 6x, what is the value of the integer x?(1) 6 – 5x > -13(2) 3 – 2x < -x + 4 < 7.2 – 2xa)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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