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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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New post 03 May 2017, 04:35
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (01:05) correct 25% (02:11) wrong based on 138 sessions

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

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

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

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

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New post 06 May 2017, 17:46
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.

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

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New post 24 Mar 2019, 02:01
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Re: Which of the following inequalities is equivalent to x > –4?   [#permalink] 24 Mar 2019, 02:01
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