steilbergauf wrote:

If x is positive, is x > 4?

(1) (4-x)^2 < 1

(2) (x-4)^2 < 1

Hi there,

We know x is positive and we need to know if its greater than 4

St 1 says (4-x)^2 <1 ------> Since both LHS and RHS are positive

(Non-Negative), we can take a sqaure root and see what we get

\(\sqrt{(4-x)^2}\) < 1

or |4-x|<1 or -1<4-x<1 -------> Simplify and we get range for x as 3<x<5. So x may or may not be greater than 4

St 2 By same way can be reduced \(\sqrt{(x-4)^2}\)<1 or |x-4|<1 or -1<x-4<1 ---we get same range for x 3<x<5.

Hence answer is E....

For such set of questions try and build your base in equalities and modulus properties. These topics will help you dissect the question stem.

Check out Gmatclub Mathbook to find more information on these topics.

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