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Which of the following represents a simplification of the inequality 5

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Carcass
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Which of the following represents a simplification of the inequality 5 [#permalink] New post   07 Jun 2022, 01:00
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Which of the following represents a simplification of the inequality 5 – x > 10 – 3(x – 2) ?


(A) x < – 1/2
(B) x > – 1/2
(C) x < 1/4
(D) x < 11/2
(E) x > 11/2

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Re: Which of the following represents a simplification of the inequality 5 [#permalink] New post   07 Jun 2022, 05:31
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Carcass wrote:
Which of the following represents a simplification of the inequality 5 – x > 10 – 3(x – 2) ?


(A) x < – 1/2
(B) x > – 1/2
(C) x < 1/4
(D) x < 11/2
(E) x > 11/2


Given: 5 – x > 10 – 3(x – 2)
Expand the right side: 5 – x > 10 – 3x + 6
Simplify the right side: 5 – x > 16 – 3x
Add 3x to both sides: 5 + 2x > 16
Subtract 5 from both sides: 2x > 11
Divide both sides by 2 to get: x > 11/2

Answer: E
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gmatclubot
Re: Which of the following represents a simplification of the inequality 5 [#permalink]
07 Jun 2022, 05:31
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