1-4 Solving Inequalities

Objectives:1. To solve and graph inequalities.

2. To solve and write compound inequalities.

Consider the equation

this equation has only one solution Now look at the inequality… Has many solutions

0 – 5

Properties of Inequalities

For inequalities when you multiply or divide by a negative, you flip the sign.

Transitive Property

Addition Property

Subtraction Property

Multiplication Property

Division Property

Example 1: Solve the inequality and then graph

the solutiona) b)

Example 1: continued…

c) d)

Example 2: Write and solve an inequality for the

situation.The New Kids on the Block will play at the Rosemont for $200 plus 25% of the ticket sales. Find the ticket sales needed for the band to receive $20,000.

Compound Inequality A pair of inequalities joined by and or or.

oExamples:

Example 3: Graph the solution of the following compound inequalities

a)

Example 3: continued…

b)

TRIVIA…

1. What do bulletproof vests, fire escapes, windshield wipers, and laser printers all have in common?

All invented by women

2. What is the name of the cartoon that has these characters: Looney Tunes

3. Which state is called the silver state?

Nevada, because of its large silver mine industries.

Example 3: continued…

c)

Homework P 29 – 30: 9, 10, 13, 15, 17, 21, 24, 26, 31, 33,

34, 41-54