2. Solving Linear Inequalities

The procedure for solving linear inequalities in one variable is similar to solving basic equations. (See Solving Equations.)

We need to be careful about the sense of the equality when multiplying or dividing by negative numbers.

Following are several examples of solving equations involving inequalities.

Solve x + 2 < 4

Answer

We need to subtract `2` from both sides of the inequality.

`x+2<4`

`x<4-2`

`x<2`

The graph of this solution is as follows: