Question

solve the inequality and graph the solution. 6(w + 23) - 14 ≥ 88 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 left - hand side

$6(w + 23)-14=6w+138 - 14=6w + 124$
So the inequality becomes $6w+124\geq88$.

Step2: Subtract 124 from both sides

$6w+124 - 124\geq88 - 124$
$6w\geq - 36$

Step3: Divide both sides by 6

$\frac{6w}{6}\geq\frac{-36}{6}$
$w\geq - 6$

Answer:

The solution of the inequality is $w\geq - 6$. On the number - line, we plot a closed circle at $-6$ (since the inequality is $\geq$) and draw a ray to the right.