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solve the inequality and graph the solution. 10 + 3b ≥ 4 plot the endpo…

Question

solve the inequality and graph the solution. 10 + 3b ≥ 4 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 10 from both sides

$10 + 3b-10\geq4 - 10$
$3b\geq - 6$

Step2: Divide both sides by 3

$\frac{3b}{3}\geq\frac{-6}{3}$
$b\geq - 2$

Answer:

The solution of the inequality is $b\geq - 2$. On the number - line, we plot a closed circle at $-2$ (since the inequality is $\geq$) and draw a ray to the right of $-2$.