100 CHAPTER R Review of Basic Concepts Perform the indicated operations. 4. 3 4 + 1 6 5. 3 7 , 9 14 6. 0.7 * 0.04 Determine whether each statement is true or false. 7. 1∈56, 2, 5, 16 8. 7∉51, 3, 5, 76 9. 58, 11, 46 = 58, 11, 4, 06 10. 506 = ∅ Let A = 51, 3, 4, 5, 7, 86, B = 52, 4, 6, 86, C = 51, 3, 5, 76, D= 51, 2, 36, E = 53, 76, and U= 51, 2, 3, 4, 5, 6, 7, 8, 9, 106. Determine whether each statement is true or false. 11. ∅⊆A 12. E⊆C 13. DsB 14. EsA Let A = 51, 3, 4, 5, 7, 86, B = 52, 4, 6, 86, C = 51, 3, 5, 76, D= 51, 2, 36, E = 53, 76, and U= 51, 2, 3, 4, 5, 6, 7, 8, 9, 106. Use these sets to find each of the following. 15. A′ 16. B¨A 17. B¨E 18. C´E 19. D¨∅ 20. B´∅ 21. 1C¨D2 ´B 22. 1D′ ¨U2 ´E 23. ∅′ 24. Concept Check True or false: For all sets A and B, 1A¨B2 ⊆1A∪B2. Let K = E -12, -6, -0.9, -27, -24, 0, 1 8 , p 4 , 6, 211 F. List all the elements of K that belong to each set. 25. Integers 26. Rational numbers Choose all words from the following list that apply to each number. natural number whole number integer rational number irrational number real number 27. 4p 5 28. p 0 29. 0 30. -236 Identify the property illustrated in each statement. 31. 815 + 92 = 15 + 928 32. 4 # 6 + 4 # 12 = 416 + 122 33. 3 # 14 # 22 = 13 # 42 # 2 34. -8 + 8 = 0 35. 19 + p2 + 0 = 9 + p 36. 122 # 22 22 = 22 2 Solve each problem. 37. Counting Marshmallows A few years ago, there were media reports about students providing a correction to the following question posed on boxes of Swiss Miss Chocolate: On average, how many mini-marshmallows are in one serving? 3 + 2 * 4 , 2 - 3 * 7 - 4 + 47 = The company provided 92 as the answer. What is the correct calculation provided by the students? (Data from Swiss Miss Chocolate box.)
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