Definitions of the Day (DODs) 4.8 – Compound Inequalities Compound Inequality
Definition: Compound Inequality – Two inequalities that are joined by the word and or the word or. Notice! A solution of a compound inequality joined by and is any number that makes both inequalities true.
Notice!! When Graphing an ”and” inequality, we end up with a Line Segment Notice!! When Graphing an ”and” inequality, we end up with a Line Segment
Simply use the 3 simple steps for equation solving success on both inequalities!! Remember these? Steps for Solving Compound Inequalities BEWARE!!! If you multiply or divide both sides by a negative number, you must “flip” the inequality sign.
Your Turn!! 1.Solve and Graph on a number line:
Sentence Frames 1.It is important to differentiate between open and closed dots on a number line because… ____________________________________________ ____________________________________________ 1.A solution to a compound inequality joined by and must do what to both inequalities?____________________ ___________________________________________