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
-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
We graphed inequalities like...
x < 3
Is the ordered pair a solution of the inequality
x + 2y < -3 (-6, 1)
Graph: y > 2x + 8
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.
number of shirts
1 2 3 4 5 6 7 8 9 10
number of pants