Question

solve the inequality and graph the solution. 10(b + 3) > -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: Distribute 10

$10(b + 3)=10b+30$, so the inequality becomes $10b + 30>-10$.

Step2: Subtract 30 from both sides

$10b+30 - 30>-10 - 30$, which simplifies to $10b>-40$.

Step3: Divide both sides by 10

$\frac{10b}{10}>\frac{-40}{10}$, resulting in $b > - 4$.

Answer:

The solution of the inequality is $b>-4$. On the number - line, we use an open circle at $-4$ (since the inequality is strict, $b$ cannot equal $-4$) and draw a ray to the right of $-4$.