AKukreja wrote:
If \(x>0\) and \(y<0\), which of the following is equal to \(|x|−|y|\) for all values of x and y?
A. \(|x−y|\)
B. \(|y|−|x|\)
C. \(|x+y|\)
D. \(x+y\)
E. \(x−y\)
Bunuel Hey, Bunuel! Please help me out in this doubt. We know that |x|=x, if x>0 and |x|=-x, if x<0. That's because modulus always makes things positive. According to this concept, shouldn't the answer be x-y?
Since \(x>0\), then |x| = x and since \(y<0\), then |y| = -y. Therefore, \(|x|−|y| = x - (-y) = x+y\).
Answer: D.
Statistics : Posted by Bunuel • on 13 Feb 2024, 02:30 • Replies 4 • Views 994
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