Lesson 13: Writing and Solving Inequalities in One Variable (Alg1.2.20)
Dinner for Drama ClubKiran is getting dinner for his drama club on the evening of their final rehearsal. The budget for dinner is $60.
Kiran plans to buy some prepared dishes from a supermarket. The prepared dishes are sold by the pound, at $5.29 a pound. He also plans to buy two large bottles of sparkling water at $2.49 each. Represent the constraints in the situation mathematically. If you use variables, specify what each one means.
How many pounds of prepared dishes can Kiran buy? Explain or show your reasoning.
Gasoline in the TankHan is about to mow some lawns in his neighborhood.
What are all the possible values for , the number of hours Han can mow without refilling the lawn mower?His lawn mower has a 5-gallon fuel tank,
but Han is not sure how much gasoline is in the tank.
He knows, however, that the lawn mower uses 0.4
gallon of gasoline per hour of mowing. 
Write one or more inequalities to represent your response. Be prepared to explain or show your reasoning.
Matching Inequalities and SolutionsMatch each inequality to a graph that represents its solutions. Be prepared to explain or show your reasoning.
Are you ready for more?Using positive integers between 1 and 9 and each positive integer at most once, fill in values to get two constraints so that is the only integer that will satisfy both constraints at the same time. You can use the applet below to help you.