[tex]\frac{x+2}{2}\ge-7-\frac{x}{2}[/tex]
Multiply both sides by 2:
[tex]x+2\ge-14-x[/tex]
Add x to both sides:
[tex]2x+2\ge-14[/tex]
Subtract 2 from both sides:
[tex]2x\ge-16[/tex]
Divide both sides by 2:
[tex]\begin{gathered} x\ge-\frac{16}{2} \\ x\ge-8 \\ \end{gathered}[/tex]
Answer:
[tex]x\ge-8[/tex]
