In this section, you will find how to simplify and graph inequalities. Enjoy!
Solving an inequality means finding all of tis solutions. Inequalities are very similar to equation, but they some different rules.
Rule 1: Inequalities do not use the symbol "$=$", they can use the following:
- $\eqslantless$ lesser than or equal to
- $\eqslantgtr$ greater than or equal to
- $>$ greater than
- $<$ lesser than
Rule 2: You can do anything you want to do with the inequality as you do in an equation, but when you divide or multiply the inequality by a negative number you must switch the direction of the symbol of the equality.
Example:
- (1) $-10x \eqslantless 20 $
- (2) $\frac{-10x} {-10} \eqslantgtr \frac {20} {-10} $
- (3) $ x \eqslantgtr -2 $
When graphing inequalities, it is needed to know the range of numbers that will satisfy the the inequality. There can be inequalities with many variables, but for these examples we will use one or two variables.