Solve the inequality 8 - x2 ≥ 9.

Step 1: Write down the inequality

8 - x² ≥ 9

Step 2: Subtract 8 from both sides of the inequality

-x² ≥ 9 - 8

Step 3: Simplify the right side of the inequality

-x² ≥ 1

Step 4: Multiply both sides of the inequality by -1. Remember that when you multiply or divide both sides of an inequality by a negative number, you must flip the inequality sign.

x² ≤ -1

Step 5: Notice that a square of a real number is always non-negative (i.e., it's always greater than or equal to 0). Therefore, there are no real solutions to the inequality x² ≤ -1.