Wednesday, October 27 Wednesday, October 27

Objective: Students will identify solutions of inequalities and write inequalities.

Today’s Agenda:1. No homework due today.2. Fill in planner with today’s assignment

(Practice 3-1)3. Bell work

Make a stem and leaf plot and find the mean, median, mode, and range of your Chapter 2 test scores:

103, 94, 96, 81, 73, 92, 74, 101, 60, 98, 83, 80, 81, 82, 99

Inequalities and their GraphsInequalities and their Graphs

763 542 8

What is an Inequality?

An inequality is a statement that two expressions are not equal

VocabularyVocabulary

• A _______________________ of an inequality is any number that makes the inequality true.

solution

Identifying Solutions of an InequalityIdentifying Solutions of an Inequality

5x

763 542 8

Are each of these a solution to x>5?

a. 7 b. -1c. 0.5

Yes; 7>5 is trueNo; -1>5 is not trueNo; 0.5 > 5 is not true

Identifying Solutions of an Inequality Identifying Solutions of an Inequality by Evaluatingby Evaluating

1352 xIs each number a solution of

the inequality?• 3 13)3(52 Substitute the value for x

13152 Simplify

1313 Compare

3 does not make the equation true, so 3 is not a solution.

Identifying Solutions of an Inequality Identifying Solutions of an Inequality by Evaluatingby Evaluating

1352 xIs each number a solution of

the inequality?b) -4 13)4(52 Substitute the value for x

13202 Simplify

1322 Compare

-4 does not make the equation true, so -4 is a solution.

Inequalities and their GraphsInequalities and their Graphs

Terms you see and need to know to graph inequalities correctly

Notice

open circles

< less than

> greater than

Inequalities and their GraphsInequalities and their Graphs

Terms you see and need to know to graph inequalities correctly

Notice colored in circles

≤ less than or equal to

≥ greater than or equal to

Inequalities and their GraphsInequalities and their Graphs

Example 1

3x3

Notice: when variable is on left side, sign shows direction of solution

Inequalities and their GraphsInequalities and their Graphs

Example 2

7

Notice: when variable is on left side, sign shows direction of solution7x

Inequalities and their GraphsInequalities and their Graphs

Example 3

-2

Notice: when variable is on left side, sign shows direction of solution

2pColor in circle

Inequalities and their GraphsInequalities and their Graphs

Example 4

8

Notice: when variable is on left side, sign shows direction of solution

Color in circle

8x