Final answer:
The values that are solutions to the inequality x^2 > 18 are 5, 8, and -18, because their squares are greater than 18.
Step-by-step explanation:
The question asks which values are solutions to the inequality x^2 > 18. To find the solutions, we need to consider the values of x that, when squared, result in a number greater than 18. Let's consider each option:
- A. 5 - Since 5^2 = 25 and 25 > 18, 5 is a solution.
- B. 4 - Since 4^2 = 16 and 16 is not greater than 18, 4 is not a solution.
- C. -2 - Since (-2)^2 = 4 and 4 is not greater than 18, -2 is not a solution.
- D. 8 - Since 8^2 = 64 and 64 > 18, 8 is a solution.
- E. -4 - Since (-4)^2 = 16 and 16 is not greater than 18, -4 is not a solution.
- F. -18 - Since (-18)^2 = 324 and 324 > 18, -18 is a solution.
Therefore, the values that are solutions to the inequality are 5, 8, and -18.