Could you explain how to solve the given type of problem. (c)Absolute value equation: |2x-5|=7

Question
Piecewise-Defined Functions
asked 2021-03-02
Could you explain how to solve the given type of problem.
(c)Absolute value equation: \(|2x-5|=7\)

Answers (1)

2021-03-03
The given absolute value equation is \(|2x-5|=7\).
The absolute value of a number x is given by:
\(|x|=\left\{(x,\ if\ x\geq 0),(-x, if x<0)\right\}\)</span>
This represents the distance of x from the origin on the real number line.
To solve absolute value equation, solve two separate equations as,
\(2x-5=7\) or \(2x-5=-7\)
Thus, the absolute value equation can be solved by property of absolute value number.
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