Compound Inequalities CA 5.0

Objective- To solve compound inequalities involving “or”.

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

Intersection vs. Union Intersection Union “and” “or” Coke and Pepsi WHERE THINGS OVERLAP “or” EVERYTHING TOGETHER Coke and Pepsi Coke or Pepsi

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

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

Special Cases & 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 < 3 x < 5 x < 5 x > 3 x < 5 x > 3 0 1 2 3 4 5 6 0 1 2 3 4 5 6 3 < x < 5 x = All Real Numbers

Special Cases & 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 No Solution 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 > 5 x > 3