If 2x q - 10 and |q|

Question

If 2x > q - 10 and |q| < 4, which of the following CANNOT be a value of x?

(A) −7
(B) −6
(C) −5
(D) −4
(E) −3

Amirbek · Answer

Hi!
I think the answer should be A and NOT E.

If we put -7 into the equation we will get q<-4, which will not satisfy |q| < 4

Dream009 · Answer

This is experts global answer key - so it has to be correct

paragw · Answer

They might be wrong in this case coz I don't see any trap in this question as of now

Given |q| < 4, q must lie between −4 and 4, so q − 10 lies between −14 and −6.
 The inequality 2x > q − 10 will be satisfied for some allowed value of q only if 2x is greater than −14.
 This requires x > −7.
So x = −7 cannot satisfy the condition, but all other options are greater than −7 and can work for some value of q.

VrushilGala · Answer

2x > q - 10
If we plug in x = -7
-14 > q - 10
-4 > q
|q| < 4, so q can take all the values ranging from -3 to 3
-4 > q can’t be satisfied. Answer should be (A) -7

Let’s check the given answer (E) -3
-6 > q - 10
4 > q
q can take values ranging from -3 to 3 to satisfy this condition.
The answer key is wrong.
Correct answer should be (A) -7

Bunuel · Answer

Edited the OA from E to A. Thank you all!

If 2x > q - 10 and |q| < 4, which of the following CANNOT be a value

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions