Chapter 6 Systems of Equations and Inequalities Objectives for this ...

**Chapter** 6

**Systems** **of** **Equations** **and** **Inequalities**

**Objectives** **for** **this** **Chapter**:

-Identify solutions **of** systems **of** linear equations in two variables

-Solve systems **of** linear equations in two variables by graphing

-Solve systems **of** linear equations in two variables by substitution

-Solve systems **of** linear equations in two variables by elimination

-Write a system **of** equations from a word problem **and** then solve

the system **of** equations to answer the question

-Solve special systems **of** linear equations in two variables

-Classify systems **of** linear equations **and** determine the number **of**

solutions

-Graph **and** solve linear inequalities in two variables

-Graph **and** solve systems **of** linear inequalities in two variables

-Write a system **of** inequalities from a word problem **and** then graph

the system to answer the question.

6.5 Linear **Inequalities**

Remember when...

We graphed inequalities like...

x < 3

Is the ordered pair a solution **of** the inequality

x + 2y < -3 (-6, 1)

Graph: y > 2x + 8

Graph

y < 3 4 x - 5

Graph x - 5y < 15

How about those word problems

You have $150 to spend on school clothes.

It costs $20 **for** a pair **of** pants **and** $15 **for** a shirt.

Let x represent the number **of** pants **and** y represent the number **of**

shirts you can buy.

Write **and** graph an inequality that describes the different number

**of** pants **and** shirts you can buy.

10

9

number **of** shirts

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10

number **of** pants