To solve inequalities using multiplication and division: Multiply or divide by a negative *Reverse the inequality symbol EXCEPT WHEN YOU. . . REMEMBER! Use normal algebra skills and bring down inequality symbol x needs to be on the left to graph Solve each inequality. Graph and check your solution. Multiplication Property of Inequality: Multiply each side by the same value. *Reverse the inequality if you multiply by a negative. 1. 2. Division Property of Inequality: Divide each side by the same value. *Reverse the inequality if you divide by a negative. 3. 4.
What’s that you say? SWITCH, SWITCH THE SIGN … SWITCH THE INEQUALITY!! Define a variable and write an inequality from the scenarios below to solve the problem. 5. Students in the school band are selling calendars. They earn $. 40 on each calendar they sell. Their goal is to earn more than $327. What is the fewest number of calendars they can sell and still reach their goal? 6. The student council votes to buy food for a local food bank. A case of 12 jars of spaghetti sauce costs $13. 75. What is the greatest number of cases of sauce the student council can buy if they use at most $216 for this project? 7. Suppose you earn $6. 15 per hour working part time at a dry cleaner. How many hours must you work to earn at least $100?