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solve the inequality and graph the solution. -3s - 7 ≥ 5 to draw a ray,…

Question

solve the inequality and graph the solution. -3s - 7 ≥ 5 to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Add 7 to both sides

$-3s-7 + 7\geq5 + 7$
$-3s\geq12$

Step2: Divide both sides by - 3 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, $\frac{-3s}{-3}\leq\frac{12}{-3}$
$s\leq - 4$

Answer:

The solution of the inequality is $s\leq - 4$. On the number - line, plot a closed circle at $s=-4$ (because the inequality is $\leq$) and draw an arrow to the left.