Question

1. solve for k and graph the solution.

4 < k - 7 < 11

1. plot the endpoints. select an endpoint to change it from middle of a segment, ray, or line to delete it.

Explanation:

Step1: Isolate k

Add 7 to all parts of the inequality $4 < k - 7 < 11$.
$4+7 < k-7 + 7<11 + 7$

Step2: Simplify the inequality

$11 < k<18$

Answer:

The solution for k is $11 < k<18$. On the number - line, we use open - circles at 11 and 18 (since the inequality is strict, i.e., $k$ cannot equal 11 or 18) and draw a line segment between them.