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QUESTION IMAGE

solve the inequality and graph the solutio 3c + 8 < 5 plot the endpoint…

Question

solve the inequality and graph the solutio
3c + 8 < 5
plot the endpoints. select an endpoint to ch
middle of the segment, ray, or line to delete it.

Explanation:

Step1: Subtract 8 from both sides

$$3c+8 - 8<5 - 8$$
$$3c<-3$$

Step2: Divide both sides by 3

$$\frac{3c}{3}<\frac{-3}{3}$$
$$c < - 1$$

Answer:

The solution of the inequality \(3c + 8<5\) is \(c < - 1\). On the number - line, we have an open circle at \(-1\) (since \(c=-1\) is not included in the solution) and a ray extending to the left (towards negative infinity).