Question

solve the inequality and graph the solution.
-7s - 5 ≤ 9
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

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( s \), we add 5 to both sides of the inequality \(-7s - 5 \leq 9\). This gives us \(-7s - 5 + 5 \leq 9 + 5\), which simplifies to \(-7s \leq 14\).

Step2: Divide by -7 (reverse inequality)

When dividing both sides of an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \(-7s \leq 14\) by \(-7\) gives \( s \geq -2 \).

Answer:

The solution to the inequality \(-7s - 5 \leq 9\) is \( s \geq -2 \). To graph this, we plot a closed dot at \(-2\) (since the inequality is "greater than or equal to") and draw a ray to the right of \(-2\) on the number line.