MathRevolution wrote:

[GMAT math practice question]

Which of the following inequalities holds if \(3.24<x<5.36\)?

\(A. |x+4.3|<1.06\)

\(B. |x-4.3|<1.06\)

\(C. |x-2.1|<0.53\)

\(D. |x+2.1|<0.53\)

\(E. |x-2.1|<1.06\)

As the question ask about the range for which an inequality is true, we'll test the extreme values.

This is a Logical approach.

(A) If x = 3.24 then |x + 4.3| is larger than 7, so it is definitely larger than 1.06.

Eliminated.

(B) If x = 3.24 then |x - 4.3| is exactly 1.06 so x > 3.24, means |x - 4.3| < 1.06

Let's try the other extreme: If x = 5.36 then |x - 4.3| is exactly 1.06 so x < 5.36, means |x - 4.3| < 1.06

We have our answer!

(B) is our answer.

_________________

David

Senior tutor at examPAL

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