Inequalities – Day 1 Name ______
Assignment Date ______Period ______
Solve and graph the solution for the following problems. Then write what the solution is using a complete sentence.
1. x + 1 £ -4
2. 3x - 9 18
3. -3y - 7 23
4. -5b + 4 ³ 19
5. 10 £ 2x - 12
6. 3t -9
7. 5(x - 2) 20
8. 3(b + 1) £ 15
9. 4y + 5 ³ y + 26
10. 6y + 7 ³ 2y + 27
Use each scenario to write an inequality that can be used to solve the situation, but DO NOT SOLVE IT.
11. Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
12. R & G Catering specializes in catering wedding receptions. They charge $550 for setting up the buffet and an additional $6.50 per guest. Mr. and Mrs. Henderson want to spend no more than $1200 on their daughter’s wedding reception. Write an inequality in terms of the number of guests, g that they can invite to the wedding reception.
13. Sharon plans to attend a fair. There is a $4.50 admission fee, and each ride coupon costs $0.25. Sharon can spend no more that $8.50. Write and inequality to represent her spending limit.
14. Anthony is carpeting several rooms in his home. The carpet costs $14.95 per square yard plus $200 for installation. He can afford to spend no more than $3000. Write an inequality to represent how many square yards of carpet Anthony can afford.
15. Jeff’s car averages 18 miles per gallon of gasoline. Write an inequality that could be used to find the greatest number of gallons of gasoline that he will need if he travels no more than 450 miles.