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course Mth 158
January 25, 2012 10:10 p.m.
13. (A U B) ^ C= {1,2,3,4,5,6,7,8,9} ^ {1,3,4,6} = {1,3,4,6}17. Compliment of A ^ B = {0,1,2,3,5,6,7,8,9}
23. a.) {1}
b.) {0,1}
c.) {0,1,1/2,1/3,1/4}
d.) none in this set
27. 18.9526 a.) Rounded to 3 decimal places is 18.923, b.) truncated to 3 decimal places is 18.952
39. 3+2=5
51. -6+4*3=-6+12=6
57. 6-[3*5+2*93-2)]=6-[15+2*1]=6-17=-11
65. (4+8)/(5-3)=12/2=6
67. (3/5)*(10/21)=.6*.47619=.2857
87. 6(x+4)=6x+24
OTHER PROBLEMS MENTIONED: 8,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,74,77,80,83,86,89,92,95
8. True because rational and irrational numbers are considered real numbers.
11. A intersects ^ B = {4}
14. (A^B) U C = {4} U C = {1,3,4,6}
17. See above
20. Compliment of B ^ Compliment of C = {0,2,5,7,8,9} ^ {0,2,5,7,8,9} = {0,5,9}
23. See above
26. a.) None b.) None c.) {1/2,103} d.) {-sqrt2,pi,sqrt2}
29. 28.65319 a.) 25.653 rounded b.) 28.653 truncated
32. .05388 a.) .054 rounded b.) .053 truncated
35. 3/7 = .42857143 a.) .429 rounded b.) .428 truncated
38. 81/5 = 16.2 a.) 16.2 b.) 16.2
41. (x+2) = (3*4)
44. 2x = 4+6
47. x/2 = 6
50. 6-4+3 = 5
53. 4+5-8=1
56. 2-.5=1.5
59. 2*(3-5)+8*2-1=2*-2+16-1=-4+16-1=11
62. 2-5*4-[6(3-4)]=2-20-[-6]=-12
65. (4+8) / (5-3) = 12/2 = 6
68. (5/9) * (3/10) = .556 * 0.3 = 0.167
71. (3/4) + (2/5) = 15/20 + 8/20 = 23/20=1.15
74. (8/9) + (15/2) = 16/18 + 135/18 = 151/18= 8.389
77. (1/30) - (7/18) = 0.033-0389=-.0059
80. (6/35) - (3/14) = .0171-.214=-0.043
83. (1/2)*(3/5)+(7/10) =.5*.6+.7=.3+.7=1
86. 3*(5/6)-(1/2)=2.5-.5=2
89. x(x-4)=xsquared - 4x
92. 3[(2/3)x + (1/6)] = 2x+0.167
95. (x-2) (x+1)= (xsquared+1) - (2x+6)=xsquared-x+2
There are no counting numbers. The rational numbers include {1/2, 10.3}, and the irrational numbers include {-sqrt2, pie, sqrt2} which inclusively make up the real numbers of this set.
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