Question

solve for d and graph the solution. 7d + 4 < 4 or d - 7 > 3 plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Solve the first inequality

Subtract 4 from both sides of $7d + 4<4$.
$7d+4 - 4<4 - 4$, which simplifies to $7d<0$. Then divide both sides by 7: $d < 0$.

Step2: Solve the second inequality

Add 7 to both sides of $d - 7>3$.
$d-7 + 7>3 + 7$, which gives $d>10$.

Answer:

The solution is $d < 0$ or $d>10$. On the number - line, for $d < 0$, the endpoint at 0 is open (a hollow circle) and the line extends to the left. For $d>10$, the endpoint at 10 is open (a hollow circle) and the line extends to the right.