Lesson 2-3 Solving Inequalities by Multiplying or Dividing Obj: The student will be able to 1) Solve one-step inequalities by using multiplication 2) Solve one-step inequalities by using division HWK: p 115 18-54 even, 55, 56, 64

Properties of Inequality Multiplication Property of Inequality a) If you multiply both sides of an inequality by the same POSITIVE number you do not change the inequality symbol Arithmetic Algebra 7 < 12 if a < b and c > 0 7 (3) < 12 (3) then ac < bc b) If you multiply both sides of an inequality by the same NEGATIVE number, you must REVERSE the inequality symbol Arithmetic Algebra 8 > 4 if a > b and c < 0 8(-2) < 4(-2) then ac < bc

2) Division Property of Inequality a) If you divide both sides of an inequality by the same POSITIVE number you do not change the inequality symbol Arithmetic Algebra 15 < 35 if a < b and c > 0 15 5 < 35 5 then 𝑎 𝑐 < 𝑏 𝑐 b) If you divide both sides of an inequality by the same NEGATIVE number, you must REVERSE the inequality symbol Arithmetic Algebra 12 > 4 if a > b and c < 0 12 −2 < 4 −2 then 𝑎 𝑐 < 𝑏 𝑐 ( also true for >, <, ≥, and ≤)

Solve each inequality and graph the solution Ex 1) -50 ≥ 5q Ex 2) 3 4 g > 27

Ex 3) -3 ≤ 𝑥 −5 Ex 4) 10 ≥ - x

Ex 5) Ryan has a $16 gift card for a health store where a smoothies costs $2.50 with tax. What are the possible numbers of smoothies that Ryan can buy?