What can be true if |a| < |b|, and a > b? - ProProfs Discuss
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What can be true if |a| < |b|, and a > b?

What can be true if |a| < |b|, and a > b?<br/>

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Asked by Wyatt Williams, Last updated: Nov 09, 2024

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2 Answers

John Adney

John Adney

John Adney
John Adney

Answered Apr 04, 2017

Answer is true lets give numbers to a&b
b<0 a>0
b=-2 a=1
1- (-2)> 1-2
3>-1
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John Smith

John Smith

John Smith
John Smith

Answered Dec 15, 2016

|a + b| < a - b

Because the absolute value of a is less than that of b, a is a lesser magnitude than b. However, a > b, so a must be a positive number and b a negative number. So, you can plug in numbers: a = some positive number of magnitude less than b, or a = 3, b = -10. Plug them in, and only B works out.
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