Question

solve the inequality and graph the solution. 22 > 11(w + 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.

Explanation:

Step1: Expand the right - hand side

Expand $11(w + 3)$ to get $11w+33$. So the inequality becomes $22>11w + 33$.

Step2: Subtract 33 from both sides

$22-33>11w+33 - 33$, which simplifies to $- 11>11w$.

Step3: Divide both sides by 11

$\frac{-11}{11}>\frac{11w}{11}$, resulting in $-1>w$ or $w < - 1$.

Step4: Graph the solution

On the number - line, we plot an open circle at $-1$ (because the inequality is $<$ and not $\leq$) and draw a ray to the left of $-1$.

Answer:

The solution of the inequality is $w < - 1$. On the number - line, we have an open circle at $-1$ and a ray extending to the left.