Question

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solve for k and graph the solution.
k - 10 < 6 or k - 6 > 13
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

Add 10 to both sides of $k - 10<6$.
$k-10 + 10<6 + 10$, so $k<16$.

Step2: Solve the second inequality

Add 6 to both sides of $k - 6>13$.
$k-6+6>13 + 6$, so $k>19$.

Step3: Graph the solution

For $k<16$, we have an open - circle at 16 and an arrow pointing to the left. For $k>19$, we have an open - circle at 19 and an arrow pointing to the right.

Answer:

The solution of the compound inequality is $k<16$ or $k>19$. On the number - line, there is an open circle at 16 with an arrow to the left and an open circle at 19 with an arrow to the right.