Answer: -5 and -7
Step-by-step explanation:
|[tex]\frac{x}{2}[/tex]+3| = [tex]\frac{1}{2}[/tex]
It has 2 cases
the first case ;
[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{1}{2}[/tex]
[tex]\frac{x}{2}[/tex] = [tex]\frac{-5}{2}[/tex]
x = -5
the second case;
[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{-1}{2}[/tex]
[tex]\frac{x}{2}[/tex] = [tex]\frac{-7}{2}[/tex]
x = -7
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