Question

solve the inequality and graph the solution.
4(u - 7) < -20
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: Expand the left - hand side

$$4(u - 7)=4u-28$$
The inequality becomes $4u - 28\lt-20$.

Step2: Add 28 to both sides

$$4u-28 + 28\lt-20 + 28$$
Simplify to get $4u\lt8$.

Step3: Divide both sides by 4

$$\frac{4u}{4}\lt\frac{8}{4}$$
So, $u\lt2$.

Answer:

The solution of the inequality is $u\lt2$. On the number line, we have an open circle at $u = 2$ (since the inequality is strict, $u
eq2$) and the line extends to the left (towards the negative infinity).