Question

solve the inequality and graph the solution.
-2 + 2b < 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: Add 2 to both sides

$-2 + 2b+2<10 + 2$
$2b<12$

Step2: Divide both sides by 2

$\frac{2b}{2}<\frac{12}{2}$
$b < 6$

To graph: On the number - line, we use an open - circle at 6 (since the inequality is $b < 6$ and 6 is not included in the solution set) and draw an arrow to the left of 6.

Answer:

The solution of the inequality is $b < 6$. On the number - line, there is an open - circle at 6 and an arrow pointing to the left.