Finite Infinite Empty G = {a| a is a book in the Holy Bible} J = {q [q is a TikTok user} F = {0} H = {r|ris an identified brand of chocolate bars} | = {t|tis the name of your "jowa na mahal raw pero pinagpalit naman"}

Q: Which sets are compact? The set of natural numbers less than some number M

A: We know that a set is compact if and only if it is closed and bounded. The set of natural numbers…

Q: Use the set definitions A = {a,b} and B = {b,c} to express the elements of the power set P(A ∩ B)…

A: We Know that A Power set is set of all subsets, empty set and the original set itself.It is denoted…

Q: Show that the finite union of compact sets is a compact set.

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Q: Provide a counter example that infinity intersection of open set is open

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Q: If a set is empty then number of subsets

A: Given : Empty set :   It is the unique set which does not contain any element is called as empty set…

Q: Can sets have different names? Give a precise definition of a set. Give two different notations…

A: A set can be defined in mathematical terms or not in mathematical terms. A way of representing sets…

Q: In regular language, describe the following set: ?={x∣x=2n+1,n ∈ N}   2.  Convert the following…

A: We have to describe the set builder set in regular language in question (1) And  We need to write…

Q: Create a Set B with your two favorite numbers. Create a Set C with three initials of your name(if…

A: Roster Form of a set: The contents of a set can be described by writing separated  by commas and…

Q: Define Closed sets ?

A: Closed sets are defined as a set which consists all of their limits points. It is also defined as…

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: What set is in another class of infinity that is bigger than N?

A: We know that N represents set of natural number which is countably infinite. In order to get set…

Q: Differentiate equal and equivalent, finite and infinite, denumerable and non-denumerable, countable…

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Q: why Ua equals to empty set

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Q: define sets.

A: A set is a collection of well defined objects.

Q: Let A and B be infinite sets that are uncountable. Do an and B have the same car finality as each…

A: Let A and B be infinite sets that are uncountable. Do A and B have the same cardinality as each…

Q: Determine if the union/intersection of two open sets is always open then determine if the…

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Q: Give an example of a countable collection of finite sets whose union is not finite.

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Q: 1) Use any method(descriptive, roster method and set builder notation) to give three examples of…

A: 1) A=Set of water droplets B=Set of stars in the midnight sky. C=Set of cells in human body

Q: What is the relationship between finite sets and countable sets in the context of advanced…

A: Finite Set: A set S is said to be finite if it has finite number of elements .Countable Set: A set…

Q: Prove that an enumerable set is infinite.

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Q: How to Apply the Archimedes'principle to prove that a set is empty

A: Consider the given information. the Archimedes' principle is defined as, Property states that for…