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solve the inequality and graph the solution. 10 + 4s ≤ 2 plot the endpo…

Question

solve the inequality and graph the solution.
10 + 4s ≤ 2
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.
<--|----|----|----|----|----|----|----|----|----|----|----|----|-->
-5 -4 -3 -2 -1 0 1 2 3 4 5
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Explanation:

Step1: Subtract 10 from both sides

$10 + 4s-10\leq2 - 10$
$4s\leq - 8$

Step2: Divide both sides by 4

$\frac{4s}{4}\leq\frac{-8}{4}$
$s\leq - 2$

Answer:

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