course mth 151
Text Assign. 2.5
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3) A
5) F
6) E
9) (a,a), (d,n), (i,s), (t,w), (o,e), (n,r)
10) (Nancy, Reagan), (Hillary, Clinton), (Laura, Bush)
12) 10
15) aleph-null
16) 13
18) c
20) 3
24) a) 3
b) a,b,c/c,b,a there are six possible correspondences (see the qa for another example of 1-1 correspondences between two 3-element sets)
25) both
27) equivalent
30) equivalent The cardinality of the rationals is aleph-null; the cardinality of the reals is c. The two sets are not equivalent. The reals are not countable.
33) worked on paper
35) worked on paper
36) worken on paper
39) not always true
40) always true
42) worked on paper
45) worked on paper
48) worked on paper
50) though they are all real numbers, they cannot be countable because they show no specific pattern
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Good overall. See my notes on a couple of problems and let me know if you have questions.
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