Lecture notes for Section 1.6

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