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Which of the following inequalities is equivalent to x > –4?
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16 Mar 2021, 06:38
16 Mar 2021, 06:38
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Question Stats:
68% (01:04) correct
31% (02:51) wrong based on 19 sessions
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(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
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Re: Which of the following inequalities is equivalent to x > –4?
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16 Mar 2021, 06:55
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) \(–5x + 3 < 15 – 2x\)
(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?
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16 Mar 2021, 09:03
16 Mar 2021, 09:03
1
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
(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
