Question

solve the inequality and graph the solution.
\\(\frac{g - 2}{-1}\geq3\\)
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Simplify the left - hand side

Multiply both sides of the inequality $\frac{g - 2}{-1}\geq3$ by - 1. Remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes. So we get $g - 2\leq - 3$.

Step2: Solve for g

Add 2 to both sides of the inequality $g - 2\leq - 3$. We have $g\leq - 3+2$, which simplifies to $g\leq - 1$.

Step3: Graph the solution

The solution $g\leq - 1$ is graphed on the number - line. We plot a closed circle at $g=-1$ (because the inequality is $\leq$) and draw a ray to the left of $g = - 1$.

Answer:

The solution of the inequality is $g\leq - 1$. On the number - line, plot a closed circle at $-1$ and draw a ray to the left.