Solve for x
x=1
x=17
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|\frac{1}{2}x-\frac{9}{2}|=4
Divide each term of x-9 by 2 to get \frac{1}{2}x-\frac{9}{2}.
\frac{1}{2}x-\frac{9}{2}=4 \frac{1}{2}x-\frac{9}{2}=-4
Use the definition of absolute value.
\frac{1}{2}x=\frac{17}{2} \frac{1}{2}x=\frac{1}{2}
Add \frac{9}{2} to both sides of the equation.
x=17 x=1
Multiply both sides by 2.
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