Using complete sentences, explain what an infinite set is. in your answer give at least two examples of infinite sets

Set of integers is countably infinite set

Set of Irrational number

Step-by-step explanation:

A set when it has cardinality less than the cardinality of natural set.Then the set is called finite set.

When the set  is not finite then the set is called infinite set.

Infinite set are of two types:

1.Countably infinite

2.Uncountable

1.Countable infinite set: when the cardinality of set is equal to cardinality of natural set .Then the set is called countably infinite .

Example:Set of integers is countably infinite set.

2.Uncountable : When the set is not countable or not finite then the set is called uncountable.The cardinality of uncountable set is greater than the cardinality of natural set.

Example:Set of Irrational number

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this