Question

Write the solution set of the inequation $x+\frac{1}{x}\ge 2$

Answer 1

We have,

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