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

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Which of the following inequalities is equivalent to x > –4?  [#permalink]

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03 May 2017, 03:35
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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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Re: Which of the following inequalities is equivalent to x > –4?  [#permalink]

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03 May 2017, 03:47
-5x + 3 < 15 -2x

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

-x < 4
Or
x > -4

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Re: Which of the following inequalities is equivalent to x > –4?  [#permalink]

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03 May 2017, 04:53
Top Contributor
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

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Re: Which of the following inequalities is equivalent to x > –4?  [#permalink]

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03 May 2017, 04:58
simplify each of the options given..
option A ,, -5x+3 < 15 – 2x
-12 < 3x
-4 < x

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Re: Which of the following inequalities is equivalent to x > –4?  [#permalink]

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06 May 2017, 16:46
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.

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Re: Which of the following inequalities is equivalent to x > –4?  [#permalink]

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24 Mar 2019, 01:01
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Re: Which of the following inequalities is equivalent to x > –4?   [#permalink] 24 Mar 2019, 01:01
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