Question

solve the inequality and graph the solution. 12 + 7g ≥ 5 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it. -5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Solve the inequality

Subtract \(12\) from both sides of \(12 + 7g\geq5\).
\(12+7g - 12\geq5 - 12\)
\(7g\geq - 7\)
Divide both sides by \(7\).
\(g\geq - 1\)

Step2: Graph the solution

For \(g\geq - 1\), on the number - line, we have a closed circle at \(g=-1\) (because the inequality is \(\geq\), which includes the endpoint) and an arrow pointing to the right (since \(g\) is greater than or equal to \(-1\)).

Answer:

The solution of the inequality \(12 + 7g\geq5\) is \(g\geq - 1\). On the number - line, there is a closed circle at \(-1\) and an arrow extending to the right.