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Write the Solution of the Inequation X 2 X − 2 > 0 - Mathematics

Write the solution of the inequation\[\frac{x^2}{x - 2} > 0\]

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Solution

\[\text{ We have }, \]
\[\frac{x^2}{x - 2} > 0\]
\[\text{ Equating both the numerator and the denominator with zero, we obtain x = 0 and x = 2 as critical points } . \]
\[\text{ Plotting these points on the real line, we see that the real line is divided into three regions } .

\[\text{ Therefore, the solution set of the given inequality is } x \in (2, \infty )\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 15 Linear Inequations
Q 1 | Page 32
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