Question

solve the inequality and graph the solution.
11≥\frac{w}{2}+13
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 13 from both sides of the inequality $11\geq\frac{w}{2}+13$.
$11 - 13\geq\frac{w}{2}+13 - 13$
$- 2\geq\frac{w}{2}$

Step2: Solve for w

Multiply both sides of the inequality by 2.
$2\times(-2)\geq2\times\frac{w}{2}$
$-4\geq w$ or $w\leq - 4$

Answer:

The solution of the inequality is $w\leq - 4$. On the number - line, we plot a closed circle at - 4 (since the inequality is $\leq$) and draw a ray to the left of - 4.