1. Ch 6.5 Solving Compound Inequalities Involving “OR”
Objective:
To solve and graph compound inequalities involving “or”.

2. Definitions Compound Inequality: Inequality: Two inequalities
connected by the words “and” or “or”
Inequality:
Two numbers or expressions that are not “strictly “ equal to each other.
They are separated by one of these symbols:
< ≤ > ≥
(less than) less than (greater than) greater than
or equal to or equal to

3. Writing & Graphing an “or” Compound Inequality
Write a compound inequality that describes
all real numbers less than -2 or greater than 5. or
Graph.

4. Solve and graph the compound inequality.or or or

5. Solve and graph the compound inequality.or or

6. Number Line Graphs of Inequalities
Intersections
Unions
x < x < 3
x < x < 3
{ x : x < 3 }
{ x : x < 5 }
x < x > 3
x < x > 3
{ x : 3 < x < 5 }
{ x : x = Any Real Number }

7. Number Line Graphs of Inequalities
Intersections
Unions
x > x < 3
x > x < 3
{ }
{ x : x < 3 or x > 5 }
x > x > 3
x > x > 3
{ x : x > 5 }
{ x : x > 3 }