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Lesson 4.1a Inequalites and Their Graphs.notebook October 30, 2012 Warm­Up Fill in the Blank with <, =, or > ­5 ­8 ­4 ­2 ­3 ­1 0 1 2 3 4 5 ­6 ­9+7 4+3 9­12 ­9+6 Some Background Info: An equation uses what symbol??? An inequality will use these symbols: < means ­­­_____________ > means _____________ ≤ means ______________________ ≥ means _____________________ Lesson 4.1a Inequalites and Their Graphs.notebook October 30, 2012 Write how you would say these expressions in words: x < 5 x is less than 5 x > ­11 x is greater than -11 x ≥ 6 x is greater than or equal to 6 x ≤ 0 x is less than or equal to 0 Inequalities Is it a solution for x < 5? ­5 6 0 ­2 5.5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 Lesson 4.1a Inequalites and Their Graphs.notebook October 30, 2012 Inequalities Is it a solution for x > ­2? 6 0 ­4 ­2.5 ­5 ­4 ­2 ­3 ­1 2 1 0 5 4 3 Graphing Inequalities x < 5 ­5 ­1 ­2 ­3 ­4 1 0 2 3 5 4 x < 5 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 Lesson 4.1a Inequalites and Their Graphs.notebook October 30, 2012 Graphing Inequalities x > ­1 ­5 ­1 ­2 ­3 ­4 1 0 2 3 5 4 x > ­1 ­5 ­3 ­4 ­2 ­1 1 0 2 3 5 4 Graphing Inequalities x > ­3.5 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 Lesson 4.1a Inequalites and Their Graphs.notebook October 30, 2012 Graphing Inequalities x < ­2.75 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 Graphing Inequalities 10 > x 3 ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 Lesson 4.1a Inequalites and Their Graphs.notebook October 30, 2012 Graphing Inequalities 19/4 < x ­5 Graph: Open circle 0 6 Graph: Closed circle ­4 ­2 ­3 ­1 Example: x < 6 2 3 6 > x ­2 < x "x is greater than "x is less than six" negative two" Example: 3 ≥ x 5 x > ­2 or Example: 4 Graph:Open circle or or 3 1 Example: x ≤ 3 0 0 0 ­2 Graph: Closed circle x ≥ 1 or 1 ≤ x "x is less than or "x is greater than equal to three" or equal to one" 0 1