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a and b satisfy a – b > 0 and ab < 0. Which of following is the expression of |a| + |b|?

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a and b satisfy a – b > 0 and ab < 0. Which of following is the expression of |a| + |b|?

by Max@Math Revolution » Tue Jul 07, 2020 11:17 pm

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[GMAT math practice question]

a and b satisfy a – b > 0 and ab < 0. Which of following is the expression of |a| + |b|?

A. a + b
B. a - b
C. –a + b
D. –a - b
E. b - a
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Re: a and b satisfy a – b > 0 and ab < 0. Which of following is the expression of |a| + |b|?

by Max@Math Revolution » Fri Jul 10, 2020 1:00 am
=>

Since ab < 0, a and b have different signs.
Since a – b > 0, we have a > b.
Since a and b have different signs with a > b, a is positive, and b is negative.

Then |a| + |b| = a + (-b) = a – b.

Therefore, B is the correct answer.
Answer: B
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