Question

match the inequality with its graph.
-6g + 2 ≥ 20

Explanation:

Step1: Isolate the term with the variable

Subtract 2 from both sides of the inequality $-6g + 2\geq20$.
$-6g+2 - 2\geq20 - 2$
$-6g\geq18$

Step2: Solve for g

Divide both sides of the inequality by - 6. When dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-6g}{-6}\leq\frac{18}{-6}$
$g\leq - 3$

The graph of the inequality $g\leq - 3$ has a closed - circle at $-3$ (because the inequality includes equality) and the line extends to the left.

Answer:

The graph with a closed - circle at $-3$ and the line extending to the left.