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Problem Solving (PS) | Re: If |x -2 | > |x +4| then what is the range of x?

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Snehaaaaa wrote:

If |x -2 | > |x +4| then what is the range of x?

A. x – 4 > 0

B. x < -1

C. x + 2 < 0

D. 3 - x > 0

E. x +4 > 0


Square both sides of the equation

\((x-2)^2 > (x+4)^2 \)

\(x^2 + 4 - 2x > x^2 + 16 + 8x\)

\(12x + 12 < 0\)

\(12(x+1) < 0\)

\(x + 1 < 0\)

\(x < -1\)

Option B

Statistics : Posted by gmatophobia • on 01 Nov 2023, 04:31 • Replies 2 • Views 87



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