write short note on the following(its 1 note only)
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Answer:
Step-by-step explanation:
a- There are various kinds of sets like – finite and infinite sets, equal and equivalent sets, a null set. Further, there are a subset and proper subset, power set, universal set in addition to the disjoint sets with the help of examples.
b- The symbol ∪ is employed to denote the union of two sets. Thus, the set A ∪ B—read “A union B” or “the union of A and B”—is defined as the set that consists of all elements belonging to either set A or set B (or both).
c- De Morgan's Laws describe how mathematical statements and concepts are related through their opposites. In set theory, De Morgan's Laws relate the intersection and union of sets through complements. In propositional logic, De Morgan's Laws relate conjunctions and disjunctions of propositions through negation. De Morgan's Laws are also applicable in computer engineering for developing logic gates.
d- (1)- Union And Intersection Of Sets. The number of distinct elements or members in a finite set is known as the cardinal number of a set. ... Set A ={2, 3, 5, 7}. As the set A consists of 4 elements, therefore, the cardinal number of set A is given as n(A) = 4.
(2)- Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.
Answer:
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