If $$x$$​  and a are real numbers and $$a > 0, \, |x| > a,$$​then:

Given:
$$|x| > a, \quad$$​d where  a > 0 
Concept used:
By definition of absolute value:
​$$|x| > a \Rightarrow x < -a \quad \text{or} \quad x > a \\$$​​
This represents the union of two intervals:
​$$x \in (-\infty, -a) \cup (a, \infty) \\$$​​
Correct answer is (d).