Question

solve the inequality and graph the solution. 16 ≤ 4(b + 5) 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: Distribute the 4

$16\leq4(b + 5)$ becomes $16\leq4b+20$.

Step2: Subtract 20 from both sides

$16-20\leq4b+20 - 20$, so $-4\leq4b$.

Step3: Divide both sides by 4

$\frac{-4}{4}\leq\frac{4b}{4}$, which simplifies to $-1\leq b$ or $b\geq - 1$.

Answer:

The solution of the inequality is $b\geq - 1$. On the number - line, you would place a closed circle at $-1$ (since the inequality is $\geq$) and draw a ray to the right.