Lesson 3.5 OBJ: to solve inequalities using multiplication or division.

Use the same rules Isolate the variable Isolate the variable Do the same thing to both sides of the inequality. Do the same thing to both sides of the inequality. Use inverse operations Use inverse operations

Multiplication Property of Inequality Multiplying each side of an inequality by a positive number produces an equivalent inequality. Multiplying each side of an inequality by a positive number produces an equivalent inequality. Multiplying each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality. Multiplying each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality.

Division Property of Inequality Dividing each side of an inequality by a positive number produces an equivalent inequality. Dividing each side of an inequality by a positive number produces an equivalent inequality. Dividing each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality. Dividing each side of an inequality by a negative number and reversing the direction of the inequality symbol produces an equivalent inequality.

Example Word Problem On average, a customer service representative helps at most 160 customers during an 8-hour workday. Write and solve an inequality to find the average number of customers c she can help each hour during one of her workdays. On average, a customer service representative helps at most 160 customers during an 8-hour workday. Write and solve an inequality to find the average number of customers c she can help each hour during one of her workdays.

Example word problem While training for a marathon, you try to consume at least 2400 calories each day. For one meal, you like to eat at least 500 calories. You choose to eat pasta that has 200 calories per cup. How many cups of pasta should you eat? While training for a marathon, you try to consume at least 2400 calories each day. For one meal, you like to eat at least 500 calories. You choose to eat pasta that has 200 calories per cup. How many cups of pasta should you eat?

Assignments Classwork – Text p. 146, 3-10 all Classwork – Text p. 146, 3-10 all Homework – Text p. 146 – 147, 12 – 28 evens, 29 – 35 all, 37, 38 Homework – Text p. 146 – 147, 12 – 28 evens, 29 – 35 all, 37, 38