Chapter 2 Section 7
Two-Variable Inequalities
Algebra 2 Notes
January 21, 2009
Warm-Ups

Solve each inequality. Graph the solution on a number
line.

Solve and graph each absolute value equation or
inequality.
Practice Test

Problem #12:

Any Questions so far??
Solving an Inequality

A Solution is any ordered pair that
makes the equation TRUE

Example:
◦ Possible Solutions:
Graphing an Inequality

Feasible Region: the area which includes all
possible solutions to the inequality

Graph the following inequality:

Check your answer:
◦ pick an ordered pair in the feasible region and see if it
makes the inequality true.
Graphing an Inequality

Graph the following inequalities:
Steps to Graphing a Linear Equality

Step 1: Graph the given equation

Step 2: Use the correct line
◦
◦

Step 3: Shade
◦
◦

Use a solid line
Use a dotted line
Shade below the line
Shade above the line
Step 4: Check your answer!
Graphing Absolute Value Inequalities

Graph each absolute value inequality
◦ Remember! Plot the vertex first then find two
other points on either side of the vertex!
Homework #10
 Pg
104 #1, 5, 7, 11, 15, 18, 2022, 28, 36-42
◦ Yes, you will need graph paper!
 Don’t
forget about the test on
Friday!!
◦ Review day tomorrow