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 circle Arrow going left x Closed circle Arrow going left Open circle Arrow going right x Closed circle Arrow going right x

EX 1) b – 10 > 25. Graph your answer b > 35 EX2) y < 21 Graph your answer y =

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

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)

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

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

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

Solve one step inequalities Date _________________

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

EX 1) EX2)

EX3) EX4)

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 ______ ____!

EX5) 150 is a solution. EX6)

EX7) 150 is a solution. EX8)

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