If x ≤ -2 or x ≥ 8,then A) 5 C) ≤ 5 D) ≥ 5 E) none of the above

Question

If x ≤ -2 or x ≥ 8,then
A) < 5 
B) > 5 
C) ≤ 5 
D) ≥ 5 
E) none of the above

Quizplus · Accepted Answer

We want to find an inequality that is true for x ≤ -2 or x ≥ 8. We know that x ≤ -2 means x is less than or equal to -2, and that x ≥ 8 means x is greater than or equal to 8.
The only answer choice that has an inequality that is true for both of these conditions is D. 11ea83f6_62be_3f4b_b5a5_11e33ecea810_TB6578_11_TB6578_11 ≥ 5 is true when x ≤ -2 or x ≥ 8 because anything less than or equal to -2 is greater than or equal to 5 when squared, and anything greater than or equal to 8 is also greater than or equal to 5 when squared. Therefore, the best choice is D.

If X ≤ -2 or X ≥ 8,then