# 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 - Mathematics

MCQ

Mark the correct alternative in each of the following:
If and 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$\in$($-$aa)

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

#### Solution

If and 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).

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 15 Linear Inequations
Q 5 | Page 32