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# Given (3 - 5x)/2 + 4 < (x + 2)/3, which of the following describes the

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
Given (3 - 5x)/2 + 4 < (x + 2)/3, which of the following describes the  [#permalink]

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13 Feb 2019, 00:46
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15% (low)

Question Stats:

86% (01:41) correct 14% (01:57) wrong based on 50 sessions

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Given $$\frac{3 - 5x}{2} + 4 < \frac{x + 2}{3}$$, which of the following describes the possible values for x?

(A) x < 29/17

(B) x < 3/14

(C) x < 29/14

(D) x > 29/17

(E) x > 1/6

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Posts: 4125
Re: Given (3 - 5x)/2 + 4 < (x + 2)/3, which of the following describes the  [#permalink]

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19 Feb 2019, 07:30
Top Contributor
Bunuel wrote:
Given $$\frac{3 - 5x}{2} + 4 < \frac{x + 2}{3}$$, which of the following describes the possible values for x?

(A) x < 29/17

(B) x < 3/14

(C) x < 29/17

(D) x > 29/17

(E) x > 1/6

GIVEN: $$\frac{3 - 5x}{2} + 4 < \frac{x + 2}{3}$$

Multiply both sides by 6 to get: $$3(3 - 5x) + 24 < 2(x + 2)$$

Expand both sides by 6 to get: $$9 - 15x + 24 < 2x + 4$$

Simplify left side to get: $$-15x + 33 < 2x + 4$$

Add 15x to both sides to get: $$33 < 17x + 4$$

Subtract 4 from both sides to get: $$29 < 17x$$

Divide both sides by 17 to get: $$29/17 < x$$

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Re: Given (3 - 5x)/2 + 4 < (x + 2)/3, which of the following describes the   [#permalink] 19 Feb 2019, 07:30
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