SajjadAhmad wrote:
If \(m=n\) and \(p < q\), which of the following
must be true?
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Source: Master GMAT
Given: \(p < q\)
Multiply both sides of the inequality by -1 to get: \(-p > -q\)
(since we multiplied both sides of the inequality by NEGATIVE value, we REVERSED the direction of the inequality symbol)Add \(m\) to both sides to get: \(-p + m> -q + m\)
Since we're told that \(m=n\), we can replace the second \(m\) with \(n\) to get: \(-p + m> -q + n\)
Rearrange the terms to get: \(m-p> n-q\)
Answer: A
Cheers,
Brent
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Brent Hanneson – Creator of gmatprepnow.com
Before you spend another second preparing for the GMAT, check out my article series, Are you doing it wrong?.
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