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If x is an integer, what is the value of x?
(1) |x – 3| = 2x
(2) –(x + 3)^2 < 0
(2) –(x + 3)^2 < 0
- 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 'A'. Can you explain this answer?
Verified Answer
If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) &...
Statement 1: |x - 3| = 2x
This statement implies that the absolute value of the difference between x and 3 is equal to 2x. To solve this equation, we need to consider two cases:
This statement implies that the absolute value of the difference between x and 3 is equal to 2x. To solve this equation, we need to consider two cases:
Case 1: x - 3 = 2x
Solving this equation gives x = -3. However, we need to check if this solution satisfies the original equation.
Solving this equation gives x = -3. However, we need to check if this solution satisfies the original equation.
|(-3) - 3| = 2(-3)
|-6| = -6 (which is not true)
|-6| = -6 (which is not true)
Case 2: -(x - 3) = 2x
Simplifying this equation gives -x + 3 = 2x, which implies 3x = 3 and x = 1.
Simplifying this equation gives -x + 3 = 2x, which implies 3x = 3 and x = 1.
Therefore, statement 1 alone is sufficient, and we find that x = 1.
Statement 2: -(x + 3)2 < 0
This statement tells us that the square of the expression -(x + 3) is less than zero. Since the square of any real number is non-negative, the only way for this inequality to hold is if -(x + 3) equals zero, which implies x = -3.
This statement tells us that the square of the expression -(x + 3) is less than zero. Since the square of any real number is non-negative, the only way for this inequality to hold is if -(x + 3) equals zero, which implies x = -3.
Therefore, statement 2 alone is not sufficient to determine the value of x.
Based on the evaluation of each statement, we conclude that statement 1 alone is sufficient to determine the value of x. The answer is option A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Most Upvoted Answer
If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) &...
Statement 1: |x - 3| = 2x
This statement implies that the absolute value of the difference between x and 3 is equal to 2x. To solve this equation, we need to consider two cases:
This statement implies that the absolute value of the difference between x and 3 is equal to 2x. To solve this equation, we need to consider two cases:
Case 1: x - 3 = 2x
Solving this equation gives x = -3. However, we need to check if this solution satisfies the original equation.
Solving this equation gives x = -3. However, we need to check if this solution satisfies the original equation.
|(-3) - 3| = 2(-3)
|-6| = -6 (which is not true)
|-6| = -6 (which is not true)
Case 2: -(x - 3) = 2x
Simplifying this equation gives -x + 3 = 2x, which implies 3x = 3 and x = 1.
Simplifying this equation gives -x + 3 = 2x, which implies 3x = 3 and x = 1.
Therefore, statement 1 alone is sufficient, and we find that x = 1.
Statement 2: -(x + 3)2 < 0
This statement tells us that the square of the expression -(x + 3) is less than zero. Since the square of any real number is non-negative, the only way for this inequality to hold is if -(x + 3) equals zero, which implies x = -3.
This statement tells us that the square of the expression -(x + 3) is less than zero. Since the square of any real number is non-negative, the only way for this inequality to hold is if -(x + 3) equals zero, which implies x = -3.
Therefore, statement 2 alone is not sufficient to determine the value of x.
Based on the evaluation of each statement, we conclude that statement 1 alone is sufficient to determine the value of x. The answer is option A: Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer?
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If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. 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 x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. 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 x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer?.
If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. 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 x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. 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 x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer?.
Solutions for If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer?, a detailed solution for If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer? has been provided alongside types of If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If x is an integer, what is the value of x?(1) |x – 3| = 2x(2) –(x + 3)^2 < 0a)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 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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