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Question

If a<b, what is the value of |a-b|+a+b? (Your answer can include a and b, and should be as simplified as possible.)

Accepted Answer

Since a<b, a-b<0. It follows that |a-b|=-(a-b), and the equation can be simplified as |a-b|+a+b=-(a-b)+a+b=2b.