Bunuel wrote:
If x is an even integer and x^2 + 6 > 22, which of the following inequalities must be true?
A. x^4 > 231
B. x^3 > 64
C. x^3 > 8
D. x^2 > 64
E. x^2 = 16
We can simplify the given inequality:
x^2 + 6 > 22
x^2 > 16
Squaring both sides, we have:
x^4 > 256
We see that x must be greater than 4 or less than -4. However, we are given that x is an even integer, and so we know that x is greater than or equal to 6, or x is less than or equal to -6.
Since x^4 > 256, and
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