Solution Sets
In this lesson you will learn to solve rational inequalities. One we get a solution set, there are several different ways to express a solution set. An example is the following written in basic style:
\(-7\leq{x}<4\).
This same solution set can be represented in:
- set builder notation as \(\{x|-7\leq{x}<4\}\).
- interval notation as \([-7, 4)\).
From the number lines below, write the solution set in basic notation, set builder notation and interval notation. Put this information in the chart on the bottom of this page.


| Problem | Basic Style | Set Builder | Interval |
|---|---|---|---|
| a | |||
| b | |||
| c | |||
| d |

