Question

solve the inequality and graph the solution. 3(y + 6) ≤ 6 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

$3(y + 6)=3y+18$, so the inequality becomes $3y + 18\leq6$.

Step2: Subtract 18 from both sides

$3y+18 - 18\leq6 - 18$, which simplifies to $3y\leq - 12$.

Step3: Divide both sides by 3

$\frac{3y}{3}\leq\frac{-12}{3}$, resulting in $y\leq - 4$.

Answer:

The solution of the inequality is $y\leq - 4$. On the number - line, we plot a closed circle at $y = - 4$ (since the inequality is $\leq$) and draw a ray to the left.