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Linear Inequations — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLinear Inequations1 Mark
Question
Write the solution set of the inequation $\text{x}+\frac{1}{\text{x}}\geq2$
✓

Answer

We have
$\text{x}+\frac{1}{\text{x}}\geq2$
$\Rightarrow\frac{\text{x}^2+1}{\text{x}}\geq2$
This is only possible if $\text{x}\in(0,\infty)$
$\therefore\text{x}\in[0,\infty)$

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