Answer:
[tex]x > 24[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]-\frac{1}{2}x < -12[/tex]
-Since [tex]-\frac{1}{2}[/tex] is less than 0, the inequality sign changes, and multiply by the denominator [tex]2[/tex] :
[tex](-2) -\frac{1}{2}x > -12 (-2)[/tex]
[tex]x > 24[/tex]
So, the answer is [tex]x > 24[/tex].