Question

Definition with examples: (i) Set Builder form (ii) Finite set

(iii) Subset (iv) Complement of set (v) Power set.


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Answer 1

Answer:

i) set builder is explained in letter (A)

iii) subset lette( B)

iv)complement of set (C)

v) power set( D)

iv) finite set( E)

Step-by-step explanation:

A) In Mathematics, set builder notation is a mathematical notation of describing a set by listing its elements or demonstrating its properties that its members must satisfy.

In set-builder notation, we write sets in the form of:

{y | (properties of y)} OR {y : (properties of y)}

B)In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion

C) For any set A which is a subset of the universal set U, the complement of the set A consists of those elements which are the members or elements of the universal set U but not of the set A. The complement of any set A is denoted by A'.

D)In set theory, the power set (or powerset) of a Set A is defined as the set of all subsets of the Set A including the Set itself and the null or empty set. It is denoted by P(A). Basically, this set is the combination of all subsets including null set, of a given set.

E) In the set theory of mathematics, a finite set is defined as a set that has a finite number of elements. In other words, a finite set is a set which you could in principle count and finish counting. For example, {1,3,5,7} is a finite set with four elements.