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1. Which of the two sets are equivalent?

1.  Which of the two sets are equivalent?

A = {a, c, b}        B = {a, b, c}


A = {a, b, c}        B = {a, c, d}


A = {1, 2 3, 1, 3} B = {1, 2, 3}


2.Given the following set S = {a, b, c, d}

Show at least four subsets of S

 


Show the power set of S.


3.Let A = {1, 2, 3, 4, 5} and B = {0, 3, 6}. Find:

A ∪ B


A ∩ B

A B 


B A


Are A and B disjoint sets?

4.Please express the following statement using the universal quantification ("for all" quantifier) and the existential quantification ("there exists" quantifier):


 Not all numbers are greater than 2.

 

There exist some numbers which are less than 0

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