Lesson 2-1 Name: Write and graph Linear Inequalities Solve the inequality and write your solution. Label your number line and graph your solution. Graph the inequality and provide two ordered pairs that satisfy the constraints and two ordered pairs that do not satisfy the constraints. 1. VE - ;x 2. 2-Vex 3. 3+x52 4. 2x+ 3y > 9 5. Sandi is purchasing chocolate truffles to use as party favors. To ensure there are enough for everyone, she needs to purchase at least 228 pieces. Dark chocolate truffles come in boxes of 24 pieces and milk chocolate truffles come in boxes of 32 pieces. Write the inequality that describes this situation. Use the variables as defined below: * = the number of boxes of dark chocolate truffles y = the number of boxes of milk chocolate truffles6. As part of a landscaping project, Mr. Montague is purchasing plants from a garden center. It will cost $39 to buy a mature tree, versus $8 for a young one. His target is to keep the cost under $1,300. Write the inequality that describes this situation. Use the variables as defined below: * = the number of mature trees y = the number of young trees 7. A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least 32 passengers, the number of tourists in the group. A dinghy can seat 5 passengers and a flatboat can seat 2 passengers. Write the inequality that describes this situation. Use the variables as defined below: * = the number of dinghies y = the number of flatboats 8. Laverne, a hairdresser, is going to work at most 7 hours at the salon tomorrow. It takes her 0.7 hours to do a haircut and 2 hours to color someone's hair. Write and graph the inequality that describes this situation. Use the variables as defined below: x = the number of haircuts Laverne can fit in y = the number of color appointments Laverne can fit in Will Laverne be able to do four haircuts and 2 hair colorings? Will Laverne be able to do 2 haircuts and 5 hair colorings? 9. While at a bakery, Martha decides to purchase some cupcakes and brownies to share with her friends. She can spend no more than $15, and the bakery charges $3 for a cupcake and $2 for a brownie. Write and graph the inequality that describes this situation. Use the variables as defined below: * = the number of cupcakes y = the number of brownies Give an example of a combination of cupcakes and brownies that Martha can afford. Give an example of a combination of cupcakes and brownies that Martha can't afford