How do you solve an equation involving an absolute value?

Clifland 2020-10-25 Answered
How do you solve an equation involving an absolute value?
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Expert Answer

tabuordg
Answered 2020-10-26 Author has 99 answers
The absolute value of a number can be brought out as a distance on the number line from the origin.
An equality involving absolute value often get multiple solutions.
Absolute value of negative number is same as positive number (has same distance from the origin)
a. The equalities having absolute value isolate them on one side of the equation.
b. Then break up the equality into two equations. The first simply drops the absolute value. The second equation drops the absolute value but multiple the other side of the equality by a factor of -1.
c. Then solve the equations.
Hence, the rules are described.
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