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Which of the following inequalities is equivalent to x > –4?

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Carcass
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Which of the following inequalities is equivalent to x > –4? [#permalink] New post   16 Mar 2021, 06:38
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Which of the following inequalities is equivalent to x > –4?


(A) –5x + 3 < 15 – 2x

(B) 1.75x – 4 < 0.25x – 10

(C) –2x + 2 < 2(x – 2) – 2x – 2

(D) 4(x – 4) < 10(4 – x)

(E) None of the above


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Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post   16 Mar 2021, 06:55
Carcass wrote:
Which of the following inequalities is equivalent to x > –4?


(A) –5x + 3 < 15 – 2x

(B) 1.75x – 4 < 0.25x – 10

(C) –2x + 2 < 2(x – 2) – 2x – 2

(D) 4(x – 4) < 10(4 – x)

(E) None of the above


A. –5x + 3 < 15 – 2x - YES
-3x < 12
x > -4

B. 1.75x – 4 < 0.25x – 10 - NO
1.50x < -6
x < 4

C. –2x + 2 < 2(x – 2) – 2x – 2 - NO
-2x + 2 < 2x - 4 -2x -2
-2x < -8
x > 4

D. 4(x – 4) < 10(4 – x) - NO
4x - 16 < 40 - 10x
14x < 56
x < 4

E. None of the above[/quote] - NO
We already have a match!

Hence, option A
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post   16 Mar 2021, 09:03
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Carcass wrote:
Which of the following inequalities is equivalent to x > –4?


(A) –5x + 3 < 15 – 2x

(B) 1.75x – 4 < 0.25x – 10

(C) –2x + 2 < 2(x – 2) – 2x – 2

(D) 4(x – 4) < 10(4 – x)

(E) None of the above


Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book


Let's start checking the answer choices....

(A) –5x + 3 < 15 – 2x
Add 5x to both sides of the inequality to get: 3 < 15 + 3x
Subtract 15 from both sides to get: -12 < 3x
Divide both sides by 3 to get: -4 < x
This is the same as x > -4

Answer: A
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gmatclubot
Re: Which of the following inequalities is equivalent to x > –4? [#permalink]
16 Mar 2021, 09:03
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