Question

solve the inequality and graph the solution.
2(g + 5) - 3 ≤ 3
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.
← -5 -4 -3 -2 -1 0 1 2

Explanation:

Step1: Expand the left - hand side

$2(g + 5)-3=2g+10 - 3=2g + 7$. So the inequality becomes $2g+7\leq3$.

Step2: Subtract 7 from both sides

$2g+7-7\leq3 - 7$, which simplifies to $2g\leq - 4$.

Step3: Divide both sides by 2

$\frac{2g}{2}\leq\frac{-4}{2}$, so $g\leq - 2$.

Answer:

The solution of the inequality is $g\leq - 2$. On the number - line, we plot a closed circle at $-2$ (since the inequality is $\leq$) and draw a ray to the left of $-2$.