Question

solve the inequality and graph the solution.
2b < 8
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.
submit

Explanation:

Step1: Divide both sides by 2

$$2b\lt8$$
$$\frac{2b}{2}\lt\frac{8}{2}$$

Step2: Simplify

$$b\lt4$$

To graph the solution:

• The endpoint is at \(b = 4\). Since the inequality is \(b\lt4\) (not \(b\leq4\)), the endpoint at \(4\) is open (a hollow circle).
• The solution is all values of \(b\) less than \(4\), so we draw a ray to the left from the open - circle at \(4\).

Answer:

The solution of the inequality \(2b\lt8\) is \(b\lt4\). On the number - line, we have an open circle at \(4\) and a ray extending to the left.