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How do you solve #abs(-5x-3)=8#?

Answer 1

Hazel Anglin

#x=-11/5# or #x=-1#

#|-5x-3|=8# meaans

either #-5x-3=8# i.e. #-5x=11# i.e. #x=-11/5#

or #-5x-3=-8# i.e. #-5x=-8+3=-5# i.e. #x=-1#

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Answer 2

Abigail Allen

To solve the equation abs(-5x-3)=8, you need to consider two cases: when the expression inside the absolute value is positive and when it's negative.

Case 1: -5x - 3 is positive: -5x - 3 = 8

Case 2: -5x - 3 is negative: -(-5x - 3) = 8

Then solve each case separately for x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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