Given two numbers a and b, three different kinds of comparison between them can be stated:
[tex]\begin{gathered} \text{If a is lower than b: }ab \\ \text{If a and b are equal: }a=b \end{gathered}[/tex]Sometimes, two conditions may meet:
If a is lower or equal to b, we write:
[tex]a\leq b[/tex]If a is greater or equal to b, we write:
[tex]a\ge b[/tex]If a is lower or greater than b, this means that a is different from b. In other words, if a is greater or lower than b, then a cannot be equal to b, and we write:
[tex]a\ne b[/tex]Therefore, we use a ≠ symbol when the inequality symbol is > or <.