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Identify the solution set for –( x – 3 ) + 5 – 2x
- a)(−∞,−1)
- b)(−∞,−2)
- c)(−∞,−5)
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Identify the solution set for –( x – 3 ) + 5 – 2xa)(...
Given inequality:
3(a - 6) < 4 + a
Step 1: Expand the left-hand side
3a - 18 < 4 + a
Step 2: Move all terms involving aaa to one side and constants to the other side
Subtract aaa from both sides:
3a - a - 18 < 4
This simplifies to:
2a - 18 < 4
Step 3: Add 18 to both sides
2a < 22
Step 4: Divide both sides by 2
a < 11
The correct option is D: a < 11.
Most Upvoted Answer
Identify the solution set for –( x – 3 ) + 5 – 2xa)(...
To solve the inequality 3(a - 6), we need to isolate the variable a.
First, distribute the 3 to both terms inside the parentheses:
3(a - 6) = 3a - 18
Now, we have the inequality 3a - 18.
We need to determine the range of values for a that satisfy this inequality.
To do this, we can add 18 to both sides of the inequality:
3a - 18 + 18 > 0 + 18
3a > 18
Next, divide both sides of the inequality by 3:
(3a)/3 > 18/3
a > 6
Therefore, the solution to the inequality 3(a - 6) is a > 6.
First, distribute the 3 to both terms inside the parentheses:
3(a - 6) = 3a - 18
Now, we have the inequality 3a - 18.
We need to determine the range of values for a that satisfy this inequality.
To do this, we can add 18 to both sides of the inequality:
3a - 18 + 18 > 0 + 18
3a > 18
Next, divide both sides of the inequality by 3:
(3a)/3 > 18/3
a > 6
Therefore, the solution to the inequality 3(a - 6) is a > 6.
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Identify the solution set for –( x – 3 ) + 5 – 2xa)(−∞,−1)b)(−∞,−2)c)(−∞,−5)d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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