solve the inequality and graph the solution.\n2 + 4u < 10\nplot the endpoints. select an endpoint to change…

Explanation:

Step1: Subtract 2 from both sides

$$2 + 4u-2<10 - 2$$ $$4u<8$$

Step2: Divide both sides by 4

$$\frac{4u}{4}<\frac{8}{4}$$ $$u < 2$$

To graph (u < 2) on the number - line:

• The endpoint is at (u = 2). Since the inequality is strict ((<)), we use an open circle at (u = 2).
• The solution set includes all real numbers less than 2, so we draw a ray to the left of (u = 2) on the number - line.

Answer:

The solution of the inequality (2 + 4u<10) is (u < 2). On the number - line, we have an open circle at (2) and a ray extending to the left.