Question

solve the inequality and graph the solution. 10 - 2d > 2. 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: Solve the inequality

Subtract 10 from both sides of $10 - 2d>2$:
$10-10 - 2d>2 - 10$
$-2d>-8$
Divide both sides by - 2. When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have $d < 4$.

Step2: Graph the solution

On the number - line, we mark an open circle at 4 (because the inequality is $d < 4$, not $d\leqslant4$) and draw a ray to the left of 4 to represent all the values of $d$ that satisfy the inequality.

Answer:

The solution of the inequality is $d < 4$. On the number - line, there is an open circle at 4 and a ray extending to the left.