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solve the inequality and graph the solution. -8 ≥ 2a - 20 plot the endp…

Question

solve the inequality and graph the solution.
-8 ≥ 2a - 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.

Explanation:

Step1: Add 20 to both sides

$-8 + 20\geq2a-20 + 20$
$12\geq2a$

Step2: Divide both sides by 2

$\frac{12}{2}\geq\frac{2a}{2}$
$6\geq a$ or $a\leq6$

Answer:

The solution of the inequality is $a\leq6$. On the number - line, we plot a closed circle at $a = 6$ (because the inequality is $\leq$) and draw a ray to the left of 6.