1. Writing Inequalities
Lesson 11-4
Notes Page 37

2. An inequality states that two quantities either are not equal or may not be equal. An inequality uses one of the following symbols:

3. An inequality that contains a variable is an algebraic inequality
An inequality that contains a variable is an algebraic inequality . A value of the variable that makes the inequality true is a solution of the inequality.
An inequality may have more than one solution. Together, all of the solutions are called the solution set.
A compound inequality is the result of combining two inequalities. The words and and or are used to describe how the two parts are related.

4. Example 1: Writing Inequalities
Write an inequality for each situation.
A. There are at least 15 people in the waiting room.
number of people ≥ 15
B. The tram attendant will allow no more than 60 people on the tram.
number of people ≤ 60

5. Example 2
A. There should be no more than 10 people on an
elevator
number of people ≤ 10
B. There must be at least 20 people signed up for a
class or it will be canceled.
number of people ≥ 20

6. Practice
Write an inequality for each situation
1. No more than 220 people are in the theater.
people in the theater ≤ 220
2. There are at least a dozen eggs left.
number of eggs ≥ 12
3. Fewer than 14 people attended the meeting.
people attending the meeting < 14