Is x 0 ? (1) |x - 3| 5

Question

Is x > 0 ?

(1) |x - 3| < 5

(2) |x + 2| > 5

TaN1213 · Answer

imo C. Question: is x positive? 1. |x - 3| - 5 < 0 -2 5 |x + 2| - 5 > 0 x<-7 and x>3 insufficient combining: overlap region: 3

NandishSS · Answer

HI chetan2u , (1) |x - 3| < 5 x=5 gives Yes x>0 x=-1 gives No x<0 (2) |x + 2| > 5 x=5 gives Yes x>0 x=-8 gives No x<0 Combining both gives x>0 Hence C Is it correct? Where am I going wrong?

chetan2u · Answer

Yes, you are correct, but testing numbers may not get you correct always. So let's see how do you do this.. 1) |x-3|<5 Two areas.. x-3 is positive.....x-3<5....x<8 x-3 is NEGATIVE....-(x-3)<5....x-3>-5....x>-2. Range -25 Again two cases as above x+2>5....x>3 x+2<-5....x<-7.... (This is where you have gone wrong @TaN1213) Insufficient Combined.. In NEGATIVE, the two ranges are x>-2 and x<-7... Nothing in common In POSITIVE, x>3 and x<8.... Common range 3< x<8 So sufficient

NandishSS · Answer

This Looks good

Sirji

TaN1213 · Answer

Thanks Chetan. I just re-did the sum and got it right this time. Wondering what was I thinking. Thank God this is a DS problem.

I will be editing the post.

Aim800score · Answer

Graphical approach to this question...

Provide kudos if u like my approach

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Is x > 0 ? (1) |x - 3| < 5 (2) |x + 2| > 5

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