1. Solving Linear Equations and Inequalities

2. Chapter Sections 2.1 – Combining Like Terms
2.2 – The Addition Property of Equality
2.3 – The Multiplication Property of Equality
2.4 – Solving Linear Equations with a Variable on One Side of the Equation
2.5 – Solving Linear Equations with the Variable on Both Sides of the Equation
2.6 – Formulas
2.7 – Ratios and Proportions
2.8 – Inequalities in One Variable
Chapter 1 Outline

3. Inequalities in One Variable

4. Inequalities
An inequality is a mathematical statement containing one or more inequality sign (<, >, ,  ).
Inequalities
x + 3 < 14
x + 4  2x - 6
4 > -x + 3

5. Properties for Inequalities
For all real numbers a, b, and c:
If a > b, then a + c > b + c.
If a > b, then a - c > b – c.
If a > b and c > 0 then ac > bc.
4. If a > b and c > 0 then
If a > b and c < 0 then ac < bc.
6. If a > b and c < 0 then

6. Solving Inequalities Example:
Solve the inequality and graph the solution.
x – 5 > -2
x – > (Add 5 to both sides)
x > 3

7. Solving Inequalities Example: 2x + 6  – 2
Solve the inequality and graph the solution.
2x + 6  – 2
2x  – 2 – (Subtract 6 from both sides)
2x  -8 (Divide both sides by 2)
x  -4