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# If |x+4|/2>5 and x<0, which of the following could be the va

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If |x+4|/2>5 and x<0, which of the following could be the va [#permalink]  08 Aug 2018, 16:09
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Question Stats:

53% (00:26) correct 46% (00:04) wrong based on 13 sessions
If $$\frac{|x+4|}{2}>5$$ and $$x<0$$, which of the following could be the value of x?

Indicate all such values

A. -6

B. -14

C. -18
[Reveal] Spoiler: OA

_________________
Intern
Joined: 10 Aug 2018
Posts: 33
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Kudos [?]: 12 [0], given: 0

Re: If |x+4|/2>5 and x<0, which of the following could be the va [#permalink]  11 Aug 2018, 12:16
Simple case of solving an inequality, given our constraint that x < 0.

|x+4|/2 > 5

Multiply both sides by 2

|x+4| > 10

Here we have two cases:

x+4 > 10

or

x+4 < -10

In both cases we subtract both sides by 4

x > 6

or

x < -14

Only the second inequality fits the constraint that x < 0

And only C is correct if x < -14 (note that it's strictly less than -14, not less than or equal to).
Re: If |x+4|/2>5 and x<0, which of the following could be the va   [#permalink] 11 Aug 2018, 12:16
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