Is |x - 1|

Question

Is  |x - 1| 0

walker · Answer

E |x - 1| < 1 --> is x (0,2) 1. (x - 1)^2 <= 1 --> x e . insufficient 2. x^2 - 1 > 0 --> x e (-∞,1)&(1,+∞). insufficient 1&2 x e (1,2]. insufficient.

neelesh · Answer

I think I am loosing it ....

I was able to get exactly where you finished but then I argued that using 1&2 we know that x e (1,2]....meaning |x-1| will never be less than 1. And hence we can answer the question stem as a yes or no.....That is |x-1| is actually > 1

So why should it not be C ?

chineseburned · Answer

Combining 1 & 2 we get x e (1,2] but this is still not sufficient since the question is really asking is x e (0,2). Picking 1.5 for instance leads to a "yes", while picking 2 leads to a "no".

walker · Answer

Because x=2 and x=1.5 satisfy both conditions, but the answers are "no" and "yes"

walker · Answer

chineseburned, thanks. I did not see your post

neelesh · Answer

Thanks walker and chineseburned.. I think I need to take a break ....what a silly a@# mistake.....

.... :wall

Is |x - 1| < 1 ? 1. (x - 1)^2 <= 1 2. x^2 - 1

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