Question

solve for x and graph the solution.
x + 1 ≥ 6 or x + 19 ≤ 16
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 1 from both sides of $x + 1\geq6$.
$x+1 - 1\geq6 - 1$
$x\geq5$

Step2: Solve the second inequality

Subtract 19 from both sides of $x + 19\leq16$.
$x+19 - 19\leq16 - 19$
$x\leq - 3$

Answer:

The solution of the compound - inequality is $x\leq - 3$ or $x\geq5$. On the number - line, we place a closed circle at $x=-3$ and shade to the left, and place a closed circle at $x = 5$ and shade to the right.