Write the solution set of inequation `|x+1/x|> 2.`

Explanation

Inequalities of the form
and
are known as linear inequalities in one variable.
Solving Linear Inequations in One Variable: Same number may be added (or subtracted) to both sides of an inequation without changing the sign of inequality.

Both sides of an inequation can be multiplied (or divided) by the same positive real number without changing the sign of inequality.

However, the sign of inequality is reversed when both sides of an inequation are multiplied or divided by a negative number.