1.5 Solving Inequalities
Words
Name:
Inequality
Graph
x is greater than 4
x is greater than or equal to 4
x is less than 4
x is less than or equal to 4
5 fewer than a number is at least 12
Set Notation
Interval Notation
Properties of Inequalities
Property
Transitive
Addition/Subtraction
Multiplication
Division
Definition
Example
Example 1: Solve and graph the inequality
32x  5  1  4
Example 2 : Is the inequality Always, Sometimes, or Never true
2  3x  1  6 x  7
Compound Inequalities
Example 3: Solve and graph the and inequality
7  2x  1 and 3x  18
Example 4: Solve and graph the or inequality
7  k  6 or 8  k  3
Assignment: p.38 11-51 odd
5  2 x  3   7  3x  8