13) D

We need to use the inequalities given in the options to solve this question.

x² ≥ 8 – 2x

__Rearranging,__

x² + 2x – 8 ≥ 0

__Factorising (x + 2x – 8),__

x² – 2x + 4x – 8

x(x – 2) + 4(x – 2)

So we have, (x – 2) (x + 4) ≥ 0

Writing them down individually,

x – 2 ≥ 0

x + 4 ≤ 0

__Rearranging,__

x ≥ 2

x ≤ -4

So the answer is D.

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