1. ALGEBRA 1 LESSON 3-3 Solve > –2. Graph and check the solutions. z3z3 z > –6Simplify each side. 3 > 3(–2)Multiply each side by 3. Do not reverse the inequality symbol. z3z3 ( ) Check: > –2 Check your Solution z3z3 – > –2Substitute –3 for z. 3333 –1 > –2Simplify. Solving Inequalities Using Multiplication and Division 3-3

2. VERY IMPORTANT RULE!!!!!!!!!!!!!!!!!!!!!!! EVERYTIME YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER……. YOU HAVE TO FLIP THE INEQUALITY. THAT IS YOUR VERY FIRST STEP!!!!!!!

3. ALGEBRA 1 LESSON 3-3 Solve 3 – x. Graph and check the solutions. < 3535 ( ) 5353 – 5353 – (3) > ( ) -3 5 x Multiply each side by the reciprocal of –, which is –, and FLIP the inequality symbol. 3535 5353 –5 x x –5 THEN……Switch and Flip AGAIN…to get the variable on the left side! < > Solving Inequalities Using Multiplication and Division 3-3

4. ALGEBRA 1 LESSON 3-3 (continued) < Solving Inequalities Using Multiplication and Division 3-3 3 5 x Check: 3

5. ALGEBRA 1 LESSON 3-3 Solve –4c < 24. Graph the solutions. c > –6Simplify. Divide each side by –4. FLIP the inequality symbol. –4c –4 > 24 –4 Solving Inequalities Using Multiplication and Division 3-3

6. ALGEBRA 1 LESSON 3-3 Your family budgets $160 to spend on fuel for a trip. How many times can they fill the car’s gas tank if it cost $25 each time? Your family can fill the car’s tank at most 6 times. cost per total fuel tankbudget Relate:times number of tanks is at most Define:Let = the number of tanks of gas. t Write:25160t < 25t 160 < Solving Inequalities Using Multiplication and Division 3-3 Divide each side by 25. < 25t 25 160 25 t 6.4Simplify. <

7. ALGEBRA 1 LESSON 3-3 Solving Inequalities Using Multiplication and Division pages 149–151 Exercises 1.t –4; 2.s < 6; 3.w –2; 4.p < –8; 5.y > –4; 6.v –1.5; 7.x < 6; 8.k –2; 9.x < 0; 10.y 0; 11.x < 7; 12.d –4; 13.c > – ; 14.b –1 ; 15.u < – ; 16.n > ; 17.t < –3; 18.m ≥ 2; 19.w –5; 20.c > 4; 21.z –9; 22.b < –6; 23.d < – ; 2323 1212 1212 3434 2323 3-3 < – < – > – < – < – > – > – > – > –

8. ALGEBRA 1 LESSON 3-3 Solving Inequalities Using Multiplication and Division 3-3 24.x –5 ; 25.q > –3 ; 26.h < 5; 27.d > 4; 28.m –4.5; 1313 1212 > – < –