This document discusses solving linear inequalities. It outlines transformations that produce equivalent inequalities, such as adding or subtracting the same number to both sides. It also discusses graphs of inequalities and how to represent solutions on a number line. The document provides examples of solving single variable linear inequalities and compound inequalities using "and" or "or" to join two inequalities. It concludes with assigning homework problems.

1. Section 1.6 – Solving Linear Inequalities A.notebook
1
July 29, 2009
Section 1.6 – Solving Linear Inequalities
Transfor­
mations
that
Produce
Equivalent
Inequalities
Add/subtract the same number to both
sides
Multiply/divide both sides by the same
positive number
Multiply/divide both sides by the same
negative number and reverse the
inequality

2. Section 1.6 – Solving Linear Inequalities A.notebook
2
July 29, 2009
Graphs of
Inequalities
x < 2
x > ­1
­2 < x < 3
­1 0­2­3­4­5 1 2 3 4 5
­1 0­2­3­4­5 1 2 3 4 5
­1 0­2­3­4­5 1 2 3 4 5
Solving
Linear
Inequalities
5y ­ 8 < 12

3. Section 1.6 – Solving Linear Inequalities A.notebook
3
July 29, 2009
2x + 1 ≤ 6x ­1
Solving Compound Linear Inequalities“And”
Compound
Inequalities
­2 ≤ 3t ­ 8 ≤ 10

4. Section 1.6 – Solving Linear Inequalities A.notebook
4
July 29, 2009
Solving Compound Linear Inequalities“Or”
Compound
Inequalities
2x + 3 < 5 or 4x ­ 7 > 9
Homework Section 1.6 Worksheet #2 ­ 34 even