1. is less than: < is less than or equal to:  is at most:  is no more than:  is greater than: > is greater than or equal to:  is at least:  is no less than:  1) Three times a number increased by six is at least twenty-four. 2) Five more than four times a number is greater than seventeen. 3) Eight less than three times a number is at most thirty. 4) Sixteen plus two-fifths of a number is no more than twenty. 5) The sum of a number and twelve is no less than twelve. 6) Four times a number decreased by thirteen is less than six. 7) Allison has at least 8 candies. Let ___ = _____________ Translate: 8) Felix is not more than 35 seconds early. Let ___ = _____________ Translate: 9) Most freshmen are more than 55 inches tall, but less than 76 inches tall. Let ___ = _____________ Translate: 10) Parking costs a flat rate of $2 plus $0.50 per hour parked. If you spend no more than $8 on parking, how long could you park? Let ___ = _____________ Translate:

2. APPLICATIONS 1) Bob pays $4 to rent skates every time he goes roller skating. He thinks he can save money if he buys his own skates for $45. He wonders, “When is the cost of renting skates more expensive than buying a new pair?” 2) Malcolm has already invited some people to his party. Now he wants to invite 8 more. His dad says, “If you add 8 more people to the party list, that’s over 40 people!” Write and solve an inequality showing how many people were on the original list. 3) The width of a rectangle is five less than the length. If the width is at least twelve, what is the length? 4) A laundry elevator can safely hold at most 2500 pounds. What is the greatest number of 120-pound laundry baskets the elevator can hold? 5) Rates at a car rental agency are $60 a week plus $0.10 for each mile driven. If Jane rents a car for a week, how far can she drive is she wants to spend no more than $250? 6) Dawn’s neighbor will pay her $13 to mow the front lawn and $4 per hour to take care of her garden. If she mows the lawn, what is the least number of hours she has to work in the garden to earn at least $25? 7) The weight of a carton of books that needs to be shipped must be less than 44 pounds. If each book weighs 0.6 pounds and the carton weighs 2 pounds, what is the greatest number of books that can go in the carton?

3. 1) Bob pays $4 to rent skates every time he goes roller skating. He thinks he can save money if he buys his own skates for $45. He wonders, “When is the cost of renting skates more expensive than buying a new pair?” 2) Malcolm has already invited some people to his party. Now he wants to invite 8 more. His dad says, “If you add 8 more people to the party list, that’s over 40 people!” Write and solve an inequality showing how many people were on the original list. 3) The width of a rectangle is five less than the length. If the width is at least twelve, what is the length? 4) A laundry elevator can safely hold at most 2500 pounds. What is the greatest number of 120-pound laundry baskets the elevator can hold?

4. 5) Rates at a car rental agency are $60 a week plus $0.10 for each mile driven. If Jane rents a car for a week, how far can she drive is she wants to spend no more than $250? 6) Dawn’s neighbor will pay her $13 to mow the front lawn and $4 per hour to take care of her garden. If she mows the lawn, what is the least number of hours she has to work in the garden to earn at least $25? 7) The weight of a carton of books that needs to be shipped must be less than 44 pounds. If each book weighs 0.6 pounds and the carton weighs 2 pounds, what is the greatest number of books that can go in the carton?