Question

solve the inequality and graph the solution.$-8 + 3w \leq 4$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 variable term

Add 8 to both sides:
$$-8 + 3w + 8 \leq 4 + 8$$
$$3w \leq 12$$

Step2: Solve for w

Divide by 3 on both sides:
$$\frac{3w}{3} \leq \frac{12}{3}$$
$$w \leq 4$$

Step3: Graph setup explanation

On the number line:

• Place a closed endpoint at 4 (since the inequality includes equality, $w \leq 4$).
• Draw a ray extending left from 4 to include all values less than 4.

Answer:

The solution to the inequality is $\boldsymbol{w \leq 4}$. For the graph: use a closed dot at 4, and draw a ray pointing left along the number line to represent all values of w that satisfy the inequality.