Question

solve the inequality and graph the solution. 3w ≤ 6 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 w

Divide both sides of the inequality $3w\leq6$ by 3. We get $\frac{3w}{3}\leq\frac{6}{3}$, which simplifies to $w\leq2$.

Step2: Graph the solution

On the number - line, we plot a closed circle at 2 (because the inequality includes equality, i.e., $w$ can be 2) and draw a ray to the left to represent all the values of $w$ that are less than or equal to 2.

Answer:

The solution of the inequality is $w\leq2$. On the number - line, a closed circle is plotted at 2 and a ray extends to the left.