Question

solve the inequality and graph the solution.
7 + 2s ≤ 3
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.

Explanation:

Step1: Subtract 7 from both sides

$$7 + 2s-7\leq3 - 7$$
$$2s\leq - 4$$

Step2: Divide both sides by 2

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

Answer:

The solution of the inequality \(7 + 2s\leq3\) is \(s\leq - 2\). On the number - line, we plot a closed circle at \(-2\) (because the inequality is \(\leq\)) and draw a ray to the left of \(-2\) to represent all values of \(s\) that satisfy the inequality.