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

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

Writing & Graphing an “or” Compound Inequality Write a compound inequality that describes all real numbers less than -2 or greater than 5. or Graph. -3 -2 -1 0 1 2 3 4 5 6

Solve and graph the compound inequality. or or or 0 5 10

Solve and graph the compound inequality. or or -7 0 12

Number Line Graphs of Inequalities Intersections Unions x < 5 x < 3 x < 5 x < 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { x : x < 3 } { x : x < 5 } x < 5 x > 3 x < 5 x > 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { x : 3 < x < 5 } { x : x = Any Real Number }

Number Line Graphs of Inequalities Intersections Unions x > 5 x < 3 x > 5 x < 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { } { x : x < 3 or x > 5 } x > 5 x > 3 x > 5 x > 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 { x : x > 5 } { x : x > 3 }