In Algebra, the solution to an inequality is a range of numbers that is less than, greater than, less than or equal to, or greater than or equal to a specific value. This article introduces inequalities and demonstrates how to graph them on number lines.

### Symbols for Inequalities

• Less than: <

Example: 4 < 100 (4 is less than 100.)

• Greater than: >

Example: 100 > 4 (100 is greater than 4.)

• Less than or equal to: ≤

Example: 5 ≤ 28 (5 is less than or equal to 28.)

• Greater than or equal to: ≥

Example: 28 ≥ 5 (28 is greater than or equal to 5.)

### Examples of Inequalities in Algebra

*y*+ 5 > 12- 195 ≤ 2
*x*+ y - |
*n*- 12| ≥ 0 *y*< 2*x*^{2}+ 4*x*+ 2

### Examples of Inequalities in the Real World

- The most money that Terrence can spend on groceries,
*g*, is $250. (*g*≤ 250) - Amanda budgets an amount,
*a*, of at least $100 to spend on the water bill. (*a*≥ 100) - When a child is missing for more than 48 hours,
*h*, the local police start searching for the child. (*h*> 48) - Fewer than 16 students,
*s*, attended each review class. (*s*< 16)

Use the following pages to learn how to represent these inequalities on a number line.