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QUESTION IMAGE

solve the inequality and graph the solution. 9 + 6b < 3 plot the endpoi…

Question

solve the inequality and graph the solution.
9 + 6b < 3
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.

Explanation:

Step1: Subtract 9 from both sides

$$9 + 6b-9<3 - 9$$
$$6b<-6$$

Step2: Divide both sides by 6

$$\frac{6b}{6}<\frac{-6}{6}$$
$$b < - 1$$

Answer:

The solution of the inequality \(9 + 6b<3\) is \(b < - 1\). On the number - line, we have an open circle at \(-1\) (because the inequality is strict, \(b
eq - 1\)) and the line extends to the left of \(-1\).