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If \(x\) and \(y\) are numbers such that \(x < - 10\) and \(y > 6,\) which of the following expressions is true?
I. \(|x+4| + | y + 4| + | y-4| + |x - 4| > 32\)
II. \(|x - 4| + |y + 4| - | x + 4| - | y - 4| < 0\)
III. \(|x + 4| + |y + 4| - |x - 4| - |y - 4| = 0\)
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III
Answer: D
Source: e-GMAT
I. \(|x+4| + | y + 4| + | y-4| + |x - 4| > 32\)
II. \(|x - 4| + |y + 4| - | x + 4| - | y - 4| < 0\)
III. \(|x + 4| + |y + 4| - |x - 4| - |y - 4| = 0\)
(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III
Answer: D
Source: e-GMAT
