Question

solve the inequality and graph the solution.
10 + 4s ≤ 2
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: Isolate the term with variable

Subtract 10 from both sides of the inequality $10 + 4s\leq2$.
$10+4s - 10\leq2 - 10$
$4s\leq - 8$

Step2: Solve for s

Divide both sides of the inequality $4s\leq - 8$ by 4.
$\frac{4s}{4}\leq\frac{-8}{4}$
$s\leq - 2$

To graph the solution on the number - line:

1. Plot a closed circle at $s=-2$ (because the inequality is $\leq$, which includes the endpoint).
2. Draw a ray to the left of $s = - 2$ to represent all the values of $s$ that satisfy the inequality.

Answer:

The solution of the inequality is $s\leq - 2$. On the number - line, a closed circle is at $-2$ and the ray extends to the left.