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Choose a couple of values greater than 2 for x are they solutions to the inequality

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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.

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