Inequalities

Summary

Inequalities

$a,b∈R$ :

• $a≤b$ : $a$ is less than or equal to $b$
• $a<b$ : $a$ is (strictly) less than $b$
• $a≥b$ : $a$ is greater than or equal to $b$
• $a>b$ : $a$ is (strictly) greater than $b$
• $a≥b⟺b≤a$
• $a>b⟺b<a$

Positive and negative numbers

• Positive number: $a$ is positive number if $a >0$
• Negative number: $a$ is negative number if $a<0$
• Nonnegative number: $a$ is nonnegative number if $a≥0$