3.1 Review Worksheet (continued)
3.1.2 Solving Inequalities by Adding or Subtracting Solve each inequality and graph the solutions. 17. a − 3 ≥ 2 18. 2.5 > q − 0.8 19. − 45 + x < − 30
20. + ≤ r 1 4
3 4
21. The maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight w . Write, solve, and graph an inequality to show the values of w that will not exceed the weight limit of the elevator.
22. The gas tank in Mindy’s car holds at most 15 gallons. She has already filled the tank with 7 gallons of gas. She will continue to fill the tank with g gallons more. Write and solve an inequality that shows all values of g that Mindy can add to the car’s tank.
3.1.3 Solving Inequalities by Multiplying or Dividing Solve each inequality and graph the solutions. 23. 10 < 2 t 24. ≤ j 4 25. − 80 < 8 c
1 3
26. 21 > 3 d
w 4
29. 6 y < 4.2
30. 12 c ≤ − 144
h 4
2 7
27.
28.
2
≥−
≤
3 5
b 8
4 5
2 5
33. − 25 > 10 p
31.
32.
34.
≥ b 6
≥ x
2
≤−
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