# Quadratic inequalities

**Quadratic inequalities**

An inequality which contain terms in *x² *will usually have two solutions. For example,

*x² *< 4 (*x* x *x* = *x*² and *-x* x *-x* = *x*²)

Therefore:

(*x²*) < 4 and (-*x*)² < 4 (√ both sides)

*x* < 2 and -x < 2 (-1 both sides to move the minus from the variable to the number)

*x* < 2 and x < -2 (combine the solutions)

-2 < x < 2