Solve the inequality and graph the solution on the line provided.minus, 2, x, minus, 5, is greater than or equal to, minus, 21−2x−5≥−21

Step 1: Write down the inequality: -2x - 5 ≥ -21

Step 2: Add 5 to both sides of the inequality to isolate the term with x on one side: -2x ≥ -21 + 5, which simplifies to -2x ≥ -16

Step 3: Divide both sides of the inequality by -2 to solve for x. Remember that when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes: x ≤ 8

So, the solution to the inequality is x ≤ 8.

To graph this solution on a number line:

Step 1: Draw a number line and mark the point that corresponds to 8.

Step 2: Since the solution is x ≤ 8, this means that x can be 8 or any number less than 8. So, draw a closed circle at 8 (to include 8 in the solution) and draw a line extending to the left from 8 (to include all numbers less than 8).