Question

use the following inequality to answer #9-10. -2(4x - 5) ≥ 7x + 40 question 9 2 points solve the inequality. __ ≥ __ question 10 2 points describe the graph of the solution set. there is a closed circle on the endpoint, and the graph is shaded to the left. there is an open circle on the endpoint, and the graph is shaded to the right there is a closed circle on the endpoint, and the graph is shaded to the right. there is an open circle on the endpoint, and the graph is shaded to the left.

Explanation:

Step1: Expand left side of inequality

$-2(4x-5) = -8x + 10$

Step2: Rewrite original inequality

$-8x + 10 \geq 7x + 40$

Step3: Move x terms to left side

$-8x -7x \geq 40 - 10$

Step4: Simplify both sides

$-15x \geq 30$

Step5: Divide by -15, reverse inequality

$x \geq \frac{30}{-15}$
$x \geq -2$

Step6: Analyze graph for solution

Since $x \geq -2$, the endpoint $x=-2$ is included (closed circle), and all values greater than -2 (shaded right) are part of the solution.

Answer:

Question 9: $x \geq -2$
Question 10: There is a closed circle on the endpoint, and the graph is shaded to the right.