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08 Jul 2020, 00:23
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B
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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. \(b - a\)
\(a\) 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. \(b - a\)
08 Jul 2020, 00:27
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Explanation:
a–b>0; a>b
ab<0; means b is less than zero and is negative.
= |a|+|b| (mode a will be open with +ve sign & mode b will be open with -ve sign as b<0)
= a - b
IMO-B
a–b>0; a>b
ab<0; means b is less than zero and is negative.
= |a|+|b| (mode a will be open with +ve sign & mode b will be open with -ve sign as b<0)
= a - b
IMO-B
08 Jul 2020, 11:43
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MathRevolution
Let's start from \(ab < 0\), this tells us \(a\) and \(b\) must have opposite signs.
Then we are given a - b > 0, in order to maintain opposite signs, we must have \(a\) positive and \(b\) negative. If we have \(a\) negative then \(b\) is positive and \(a - b\) would be negative instead.
Therefore \(|a| + |b| = a + (-b) = a - b\)
Ans: B
