Question

solve the inequality and graph the solution.
5(q - 6) ≤ 10
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: Expand the left - hand side

$5(q - 6)=5q-30$, so the inequality becomes $5q - 30\leq10$.

Step2: Add 30 to both sides

$5q-30 + 30\leq10 + 30$, which simplifies to $5q\leq40$.

Step3: Divide both sides by 5

$\frac{5q}{5}\leq\frac{40}{5}$, so $q\leq8$.

Answer:

The solution of the inequality is $q\leq8$. On the number - line, we would plot a closed circle at 8 (since the inequality is $\leq$) and draw a ray to the left of 8.