Question

solve the inequality and graph the solution. 20 ≥ 4(y + 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 right - hand side

$20\geq4y + 24$

Step2: Subtract 24 from both sides

$20-24\geq4y+24 - 24$
$-4\geq4y$

Step3: Divide both sides by 4

$\frac{-4}{4}\geq\frac{4y}{4}$
$-1\geq y$ or $y\leq - 1$

Answer:

The solution of the inequality is $y\leq - 1$. On the number - line, we plot a closed circle at $y=-1$ (since the inequality is $\leq$) and draw a ray to the left.