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Consider the set of all sets of exactly three integers. Select all true statements about the set .(a) is infinite(b) is finite(c) is countably infinite(d), where denotes the natural numbers(e) is uncountable

Sagot :

The set of all sets of exactly three integers are finite set, countably infinite set, and Uncountable.

What is set?

A set is simply an organized collection of distinct objects forming a group and can be expressed in set-builder form or roaster form.

Let A= [2,3,4] = uncountable

B= [3,4)=uncountable

A ∩ B ={3}= finite

Hence,A ∩ B  is finite set .

Let A= set of positive real numbers that is Uncountable.

B= Set of negative real numbers and positive integers that is  Uncountable

Now, A ∩ B =Set of positive integer numbers  

A ∩ B =countably infinite set.

Let A= set of real numbers that is Uncountable

B= Set of irrational numbers that is Uncountable

Then, A ∩ B = set of irrational numbers is Uncountable.

when A is a set of real numbers and B is a set of irrational numbers.

Learn more about the set here;

https://brainly.com/question/13373364

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