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Solve One Step Inequalities. ˂ ˃ Comparison Symbols ˃ ˂ Less Than Greater Than Less Than or equal to Greater Than or equal to - and how to graph x Open.

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Presentation on theme: "Solve One Step Inequalities. ˂ ˃ Comparison Symbols ˃ ˂ Less Than Greater Than Less Than or equal to Greater Than or equal to - and how to graph x Open."— Presentation transcript:

1 Solve One Step Inequalities

2 ˂ ˃ Comparison Symbols ˃ ˂ Less Than Greater Than Less Than or equal to Greater Than or equal to - and how to graph x Open circle Arrow going left x Closed circle Arrow going left Open circle Arrow going right x Closed circle Arrow going right x

3 EX 1) b – 10 > 25. Graph your answer. + 10 +10 b > 35 EX2) 113 + y < 21 Graph your answer. - 113 -113 y = - 92 35 -92

4 EX 3) Z + 13 > -25. Graph your answer. - 13 -13 Z > - 38 EX4) y – 71 < 12 Graph your answer. +71 + 71 Y < 83 -38 83

5 When we multiply or divide both a and b by a positive number, the inequality stays the same. Multiplication and Division Property of Inequalities When we multiply or divide both a and b by a negative number, the inequality swaps over! A < B AC < BC 5 < 7 5(3) < 7(3) A < B A(-C) > B(-C) 5 < 7 5(-3) > 7(-3)

6 EX5) 49 > 7x. Graph your answer. 7 7 7 > x -9 -10 > y 90 < -9y. Graph your answer. EX6) 7 -10

7 EX7) > 13 Graph your answer. H -5 h -5 > 13 (-5) h < -65 < 12 Graph your answer. X 8 < 12 (8) x < 96 150 is a solution. X 8 (-5) EX8) (8) -65 96

8 Essential Question Explain when you should not reverse the inequality symbol when solving an inequality.

9 Solve one step inequalities Date _________________

10 ˂ ˃ Comparison Symbols ˃ ˂ Less Than Greater Than Less Than or equal to Greater Than or equal to - and how to graph

11 EX 1) EX2)

12 EX3) EX4)

13 Multiplication and Division Property of Inequalities When we multiply or divide both a and b by a ________ _______, the inequality ______ ____ _____. When we multiply or divide both a and b by a ________ _______, the inequality ______ ____!

14 EX5) 150 is a solution. EX6)

15 EX7) 150 is a solution. EX8)

16 Essential Question Explain when you should not reverse the inequality symbol when solving an inequality.


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