MathRevolution wrote:

[GMAT math practice question]

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

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

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

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

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

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

Hi...

Modulus does not mean anything except at B..

Others can be taken as normal equation..

One way will be to take 4 or 5 as the value..

Only B.. x-4.3 that is 5-4.3=0.7<1.6 stands

The choices itself give you answer..

X is positive, so when you add something POSITIVE to it, the value has >that POSITIVE value..

So x+4.3<1.06 and X+2.1<0.53 can be discarded.

In all choices, x-4.3 is the smallest as we are subtracting max amount of 4.3 from a positive value x..

So if any other choice matches, even x-4.3 will be true..but we can't have two Answers..

So ans x-4.3

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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