Problem (1): Set Theory (50 pts) Question (a): True / False (16 pts) For each an

Question

Problem (1): Set Theory (50 pts) Question (a): True / False (16 pts) For each and every one of the following statements, write T or F on the small line next to them if you believe that they are True or False respectively You do not have to justify your answers. The quantified expression (VA C U) is read: "for all subsets A of the universal domain U" and has the meaning "for all possible sets A". Remind yourselves that |A is the cardinality of set A (i) 0c10) (iv) P(f11,2))) 1,2), {1), {21,0) (vii) (VAC A A -1

Explanation / Answer

I) True. 0 belongs to a null set

2)True as Z is an interger contains all negative,0,and positive numbers

3) True power (A) belongs to the elements in A including null

4)False because {,} also belongs to set A

5)False P(A) belongs to the elements in A including null but it is given opposite

6)True A can be a subset of power of A

7)False because cardinality can be <= A

8)False as the cardinality of Higher number elements is never less than the lesser number of elements

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