x and b are real numbers. If b > 0 and |x| > b, then
|x| > b
Hence, there are two cases,
x > b
⇒ x ∈ (b, ∞) [1]
and
-x > b
⇒ x < -b
⇒ x ∈ (-∞, -b) [2]
From [1] and [2], we get
⇒ x ∈ (-∞, -b) ∪ (b, ∞)
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