Question

solve the inequality and graph the solution.
18 > 4b + 19
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: Subtract 19 from both sides

$$18 - 19>4b+19 - 19$$
$$- 1>4b$$

Step2: Divide both sides by 4

$$\frac{-1}{4}>\frac{4b}{4}$$
$$-\frac{1}{4}>b$$

Answer:

The solution of the inequality is \(b<-\frac{1}{4}\). On the number - line, we plot an open circle at \(-\frac{1}{4}\) (since the inequality is strict, \(b\) is not equal to \(-\frac{1}{4}\)) and shade the line to the left of \(-\frac{1}{4}\).