Question: please do all the questions! (a) An equivalence relation that partitions the sets into infinitely many equlvalence classes (b) A set C that is contained

please do all the questions!
 please do all the questions! (a) An equivalence relation that partitions

(a) An equivalence relation that partitions the sets into infinitely many equlvalence classes (b) A set C that is contained in both sets A and B (c) A set C such that AC=BC (d) A bijection from A to B 18. The diagonalization argument can be used to prove that (a) Q=N (b) [0,1]=N (c) [0,1]=2N (d) N=Z 19. The following sets have the same cardinality except (a) Q (b) R (c) N (d) Z 20. Which of the following sets is different? (a) {1,2,3,5,8,8} (b) {1,2,3,3,5,8} (c) {1,3,2,3,8,5} (d) All represent the same set

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