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Question:
Which of the following is the solution set for the equation below?
|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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