Question

solve the inequality and graph the solution.
3 - 2w > 7
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: Subtract 3 from both sides

$3 - 2w-3>7 - 3$
$-2w>4$

Step2: Divide both sides by - 2 and reverse the inequality sign

$\frac{-2w}{-2}<\frac{4}{-2}$ (When dividing by a negative number, the inequality sign flips)
$w < - 2$

Answer:

The solution of the inequality is $w < - 2$. On the number - line, we plot an open circle at $-2$ (since the inequality is strict, $w$ cannot equal - 2) and draw a ray to the left of - 2.