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Unit - 1, Sets

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Exercise - 1.1  1. a) Present the cardinality of sets with examples and show it to your teacher. Answer👉  Present the cardinality of sets with examples Cardinality refers to the number of elements in a set. For a set A A A , the cardinality is denoted as n ( A ) n(A) n ( A ) . Examples : If A = { 1 , 2 , 3 , 4 } A = \{1, 2, 3, 4\} A = { 1 , 2 , 3 , 4 } , then n ( A ) = 4 n(A) = 4 n ( A ) = 4 (4 elements). If B = { a , b , c } B = \{a, b, c\} B = { a , b , c } , then n ( B ) = 3 n(B) = 3 n ( B ) = 3 (3 elements). To present to your teacher, you can list these sets and their cardinalities clearly. b) Fortwo sets A and B, A c B, find the values of n(AUB) and n(AMB).  IFA and B are overlapping sets, state the formula for n(AUB). Answer👉  For two sets  A A A  and  B B B , if  A ⊆ B A \subseteq B A ⊆ B : Values of  n ( A ∪ B ) n(A \cup B) n ( A ∪ B ) : The union of two sets  A A A  and  B B B  combines all elements in both ...
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