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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, \[\infty\])

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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?
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APPEARS IN

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