# Inequalities

## a is not equal to b

$$a\ne b$$

## a is greater than b

$$a>b$$

## a is lessr than b

$$a<b$$

## a is greater than or equal to b

$$a\ge b$$

## a is less than or equal to b

$$a\le b$$

## Other rules

$$f\left(x\right),g\left(x\right),c\in \mathrm{\mathbb{R}}$$

$$f\left(x\right)<g\left(x\right)\Rightarrow f\left(x\right)+cg\left(x\right)+c$$

$$f\left(x\right)<g\left(x\right)\wedge c0\Rightarrow c\xb7f\left(x\right)c\xb7g\left(x\right)$$

$$f\left(x\right)<g\left(x\right)\wedge c0\Rightarrow c\xb7f\left(x\right)c\xb7g\left(x\right)$$

Keywords: inequalities, properties of Inequalities