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#
Which of the following is the solution set for the equation below?

|2x−5|=19

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Question:

|2x−5|=19

A
{−7,12}

explanation

Absolute value equations can be rewritten in two ways to solve:

2x−5=19 and 2x−5=−19

Solve both:

2x−5=19

2x=24

x=12

and 2x−5=−19

2x=−14

x=−7

The two solutions are: −7 and 12

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