Final answer:
To determine if values are solutions to the given inequality, substitute them into the inequality and check if it holds true. For x = 3 and x = 4, neither value satisfies the inequality.
Step-by-step explanation:
In order to determine whether certain values of x are solutions to the inequality, we need to substitute those values into the inequality and see if it holds true. Let's choose a couple of values greater than 2, such as x = 3 and x = 4.
For x = 3:
2(x^2 - 1)^2 ≤ 4
2(3^2 - 1)^2 ≤ 4
2(9 - 1)^2 ≤ 4
2(8)^2 ≤ 4
2(64) ≤ 4
128 ≤ 4
As we can see, 128 is not less than or equal to 4, so x = 3 is not a solution to the inequality.
For x = 4:
2(x^2 - 1)^2 ≤ 4
2(4^2 - 1)^2 ≤ 4
2(16 - 1)^2 ≤ 4
2(15)^2 ≤ 4
2(225) ≤ 4
450 ≤ 4
Similarly, 450 is not less than or equal to 4, so x = 4 is not a solution to the inequality.
Therefore, neither x = 3 nor x = 4 are solutions to the inequality.