Question

What is the defination of a
1.Null set
2.Realtion
3.Function
4.Finite set
5.Difference between relation and function


And give example of all......

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Answer 1

Answer:

Null Set is an empty set that doesn't contain anything

Relation is a relationship between sets of value

Function is a relation between two sets

Finite set is a set that has a countable number of elements

Difference between relation and function: A relation is a set of ordered pairs. A domain is the set of first coordinates of the ordered pairs of a relation. ... A function is a relationship in which member of the domain is paired with exactly one member of the range

Answer 2

answer:1. null set : It is also known as empty set. it is a set which does not contain any element.

example : ∅ or { }

2. relation : relation is a subset of cartesian product . The relation is derived by describing a relationship between the elements of the sets.

example : R={(a,b):a=2b where a,b are int less than 10}

3. Function : a relation  f from a set A TO a set B is said to be a function if every element of set A has one and only one image i set B.

example :

f(x)=$(x^{2} +2x+1)/x^{2} -8x+12$

4. finite set: it is a set which contain finite or countable number of elements.

example : A={1,2,34,56}

5. diff between a relation and function : relation is a subset of cartesian product . The relation is derived by describing a relationship between the elements of the sets.    whereas func is a specific type of relation in which every element of set A has one and only one image i set B.