1. Section 1-6
Solving Inequalities

2. a < b a = b a > b b < > a =
For any real numbers a and b, exactly one of the following is true
a < b
a = b
a > b b
<
> a =

3. Addition and Subtraction Properties of Inequality
Let a, b and c represent any real numbers.
Addition Property of Inequality
If a < b, then a + c < b + c
If a > b, then a + c > b + c
Adding or subtracting
a number to an inequality
doesn’t change the
order of the inequality
Subtraction Property of Inequality
If a < b, then a - c < b - c
If a > b, then a - c > b - c

4. 1.) Solve: 3a - 15 > 6 Then graph the solution set.
Open circle if < or > Closed circle if ≥ or ≤

5. 2.) Solve: 7(7x - 9) ≤ 84 Then graph the solution set.
Open circle if < or > Closed circle if ≥ or ≤

6. Multiplication and Division
Multiplying (or dividing) an inequality by a negative number reverses the order of the inequality
>
<
Multiplication and Division
Let a, b and c represent any real numbers where:
c > 0 (positive) and d < 0 (negative)
Multiplication Property of Inequality
If a < b then a • c < b • c but if negative a • d > b • d
If a > b then a • c > b • c but if negative a • d < b • d

7. 3.) Solve for x: -3x - 4 ≥ 12

8. 4.) Solve

9. 5.) The product of 8 and a number is less than 42.
What is the number?

10. Homework
Page 47
Problems: #4-9, 14-21, 27, 29, 35, 36, 41, and 43