Question

solve the inequality and graph the solution.
-10 + 5s ≤ 10
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
submit

Explanation:

Step1: Add 10 to both sides

To isolate the term with \( s \), we add 10 to both sides of the inequality \(-10 + 5s \leq 10\). This gives \(-10 + 10+ 5s \leq 10 + 10\), which simplifies to \(5s \leq 20\).

Step2: Divide both sides by 5

To solve for \( s \), we divide both sides of the inequality \(5s \leq 20\) by 5. So, \(\frac{5s}{5} \leq \frac{20}{5}\), which simplifies to \(s \leq 4\).

To graph the solution:

• The endpoint is at \( s = 4 \). Since the inequality is "less than or equal to", we use a closed dot at 4.
• Then we draw a ray to the left of 4 (towards negative infinity) to represent all values of \( s \) that are less than or equal to 4.

Answer:

The solution to the inequality is \( s \leq 4 \). The graph has a closed dot at 4 and a ray extending to the left from 4.