# Can there be more than one solution to an inequality?

Dec 18, 2014

Definitely

Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: $x > 3$.

The solutions of this inequality are "all numbers strictly greater than 3". There's an infinite amount of these numbers (e.g. 4, 5, 100, 100000, 6541564564654645 ...). The inequality has an infinite amount of solutions. The notation for this is:
x in ]3;+oo[ or x in (3; +oo).
There will probably be more notations depending on in which country you live.