Is |x - 2| < 1? A. |x| < 1 B. |x - 1| < 2

Question 98

Is |x - 2| < 1?

A. |x| < 1

B. |x - 1| < 2

Solution

Statement A: -1<x<1
-3<x-2<-1
So 1<mod(x-2)<3
It is definitely greater than 1

Statement B: -2<x-1<2
-3<x-2<1
which implies mod(x-2) might be greater than or less than 1

So only one statement is sufficient.

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Is |x - 2| < 1? A. |x| < 1 B. |x - 1| < 2

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Is |x - 2| < 1?

A. |x| < 1

B. |x - 1| < 2