Question

Mark the correct alternative in each of the following:
If x and a are real numbers such that a\[>\]0 and \\left| x \right|\]\[>\]a, then

 

Options

• x\[\in\]\[\in\](\[-\]a, \[\infty\])

• (b) x\[\in\][\[-\]\[\infty\]a]

• (c) x\[\in\](\[-\]a, a)

• (d) x\[\in\](\[-\]\[\infty\]\[-\]a) \[\cup\](a, \[\infty\])

Answer 1

If x and a are real numbers such that a \[>\]0.\[\left| x \right|\] \[>\]a

\[\Rightarrow x > a \text{ or } x < - a\]
\[ \Rightarrow x \in \left( - \infty , - a \right) \cup \left( a, \infty \right)\]

Hence, the correct option is (d).