Question

solve the inequality and graph the solution.
10(v - 4) - 20 ≤ 20
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

$10(v - 4)-20=10v-40 - 20=10v-60$. So the inequality becomes $10v-60\leq20$.

Step2: Add 60 to both sides

$10v-60 + 60\leq20 + 60$, which simplifies to $10v\leq80$.

Step3: Divide both sides by 10

$\frac{10v}{10}\leq\frac{80}{10}$, so $v\leq8$.

Answer:

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