Question

solve the inequality and graph the solution. -5k - 8 < 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 for k

Add 8 to both sides of -5k - 8 < 2.
-5k - 8+8 < 2 + 8, which simplifies to -5k < 10.

Step2: Isolate k

Divide both sides of -5k < 10 by - 5. When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have k > - 2.

Step3: Graph the solution

On a number - line, we draw an open circle at - 2 (because k is greater than - 2, not equal to - 2) and draw an arrow to the right to represent all the values of k that satisfy the inequality.

Answer:

The solution of the inequality is k > - 2. On the number - line, there is an open circle at - 2 and an arrow pointing to the right.