A) all numbers except -5 and 5
B) the numbers between -5 and 5
C) the empty set
D) all real numbers
D) all real numbers.
This is because {x | x > -5} = (-5, ∞) and {x | x < 5} = (-∞, 5). If you combine all these you get all real numbers: (-5, ∞) ∪ (-∞, 5) = (-∞, ∞) = ℝ.
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D) all real numbers.
This is because {x | x > -5} = (-5, ∞) and {x | x < 5} = (-∞, 5). If you combine all these you get all real numbers: (-5, ∞) ∪ (-∞, 5) = (-∞, ∞) = ℝ.