If |x + 4|/25 and x

Question

If  \frac{|x+4|}{2}>5  and  x<0 , which of the following could be the value of x?

I. -6
II. -14
III. -18

A. I only
B. III only
C. I and II only
D. II and III only
E. I, II, and III

Kinshook · Answer

Asked: If \frac{|x+4|}{2}>5 and x<0 , which of the following could be the value of x? \frac{|x+4|}{2}>5 |x+4| > 10 x<-14 since x<0 I. -6; NO II. -14; NO III. -18; < -14; YES Bunuel None of the answer choices are correct. Only III is correct

TestPrepUnlimited · Answer

From the first inequality we have: | x + 4 | > 10 x + 4 > 10 or x + 4 < -10 x > 6 or x < -14 Combined with x < 0 , we can only take the negative portion of the solutions above. So combined we have x < -14 . The answer should be III only but it is not an option. Bunuel

rajatchopra1994 · Answer

Explanation: x<0; |x+4|/2 > 5 |x+4| > 10 as x<0 open mode with -ve sign x < -14 Only III satisfies. No option

Bunuel · Answer

__________________
Fixed. Thank you.

v12345 · Answer

\frac{|x+4|}{2}>5 => |x+4|>10 => x+4>10 or x + 4 < -10 => x>6 or x < -14 We also have that x < 0. So, x < -14. Only III. satisfies the condition. Hence, OA is (B).

bumpbot · Answer

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

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