Question

solve the inequality and graph the solution.
-5 < \frac{b}{8} - 4
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Add 4 to both sides

$$-5 + 4<\frac{b}{8}-4 + 4$$
$$-1<\frac{b}{8}$$

Step2: Multiply both sides by 8

$$-1\times8<\frac{b}{8}\times8$$
$$-8 < b$$

Answer:

The solution is \(b > - 8\). On the number - line, we plot an open circle at \(-8\) (because the inequality is strict, \(b
eq - 8\)) and draw an arrow to the right.