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

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Bunuel
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Which of the following inequalities is equivalent to x > –4? [#permalink] New post  03 May 2017, 04:35
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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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BrentGMATPrepNow
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post  03 May 2017, 05:53
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Bunuel 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


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:
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A


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roly95
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post  03 May 2017, 04:47
-5x + 3 < 15 -2x

-3x +3 < 15 ( adding 2x both sides)

-x < 4
Or
x > -4

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mohshu
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post  03 May 2017, 05:58
simplify each of the options given..
option A ,, -5x+3 < 15 – 2x
-12 < 3x
-4 < x

hence the answer...
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ScottTargetTestPrep
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post  06 May 2017, 17:46
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Bunuel 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


We can simplify each answer choice:

A)

–5x + 3 < 15 – 2x

-12 < 3x

-4 < x

Answer choice A is equivalent to x > -4.

Answer: A
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somyamehta777
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink] New post  16 Mar 2021, 19:52
Checking each answer might take time, especially when the answer is 3rd or 4th option. What I follow in these kinds of question is take a number from the range provided, in this case i took x=0 as x>-4 and see which equations qualify(by taking 0 calculation were pretty easy and fast), from this i was able to deduce option A and D qualify and now I just had to check for these two options.

Again this question you might not feel the need as option A was the correct one.
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Re: Which of the following inequalities is equivalent to x > –4? [#permalink]
16 Mar 2021, 19:52
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