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 \(a≥0\)