Question

solve the inequality and graph the solution.
2s + 3 ≤ -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.
← -5 -4 -3 -2 -1 0 1 2 3 4 5 →
submit

Explanation:

Step1: Subtract 3 from both sides

$$2s+3 - 3\leq - 3-3$$
$$2s\leq - 6$$

Step2: Divide both sides by 2

$$\frac{2s}{2}\leq\frac{-6}{2}$$
$$s\leq - 3$$

Answer:

The solution of the inequality \(2s + 3\leq - 3\) is \(s\leq - 3\). On the number - line, we plot a closed circle at \(-3\) (since the inequality is \(\leq\)) and draw a ray to the left (towards the negative infinity).