Question

solve the inequality. graph the solution.
$\frac{x}{2}-5geq - 9$
solution:

Explanation:

Step1: Add 5 to both sides

$\frac{x}{2}-5 + 5\geq - 9+5$
$\frac{x}{2}\geq - 4$

Step2: Multiply both sides by 2

$2\times\frac{x}{2}\geq2\times(-4)$
$x\geq - 8$

To graph the solution, we use a closed - circle at $x = - 8$ (because the inequality is $\geq$) and draw an arrow to the right.

Answer:

$x\geq - 8$; The graph has a closed - circle at $-8$ and an arrow pointing to the right.