The collection of values that a variable x can take is called X's universe of discourse A) True False B

Q: In an tuo intersal domain if there exists a lowest common multiple of any elements, then it is…

A: We have to show that in an integral domain if there exists a lowest common multiple of any two…

Q: 26) Let "" denote the truth-functional connective "exclusive OR." and let "A,1 "v, " and -" denote,…

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Q: show that 12ª> |A/ for each set A

A: The objective is to prove |2A|>|A| for each set A.

Q: What is an example of two equivalent sets with the same cardinality BUT DO NOT HAVE a one-to-one…

A: Take A as, 1,2,3 and B as 3,4,5 The cardinality of A and B is 3. Now let's define a function.

Q: is the following relation a functic {(1, 5), (-1, 7), (1, 8), (-4,9)} yes no

A: 1, 5, -1, 7, 1, 8, -4, 9.

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

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Q: True or False The intersection of two sets is always a subsetof their union

A: To check the statement

Q: Which of the following sets of connectives are expressively adequate? →, ¬, A →, +, V 7,V ^, V

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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: a) Find just one value of x such that x^2-5=0 if it exists in the set of real numbers (R) b) Find…

A: The given equations,(a) (b) .The aim is to find the real number solution to this equation.

Q: Give example open set is compact

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Q: and proof of an existence theorem that can be proved by “nonconstructive proof” and provide the…

A: The proof is the proof of Intermediate value theorem.

Q: Could the explanation of how each cardinality set is determined be described?

A: Cardinality :  It is the number of elements in a mathematical set. In question there are three…

Q: a Prove that the interval [-1, 2] is a closed set in R. Explain each step in your argument.

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Q: why Ua equals to empty set

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Q: Assume that A = {1, 2, 3, 5, 8, 7} B = {5, 3, 4} C = {2, 3, 5, 6} and that U is the universal set of…

A: It is basic set theory problem

Q: Question 2 Use the Logical Equivalence Laws to simplify the following statement form. Be sure to…

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

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Q: State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following…

A: The given sets are X=a,1,a,a,a,1,∅, Y=a,3,a,1,a

Q: Write down the difference between universal quantifier and existential quantifier by giving examples

A: Universal quantifiers: ⇒Universal quantifiers as name suggests is a formal expression used in…

Q: Give an example and proof of an existence theorem that can be proved by “constructive proof” and…

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Q: please explain completely thank you

A: Given the universe of discourse be the set of relation on the set A.Let the universe of the…

Q: Let X, Y and Z be subsets of the universal set U. Prove using ONLY definitions (logical connectives)…

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Q: Denote the set in set-builder form {6, 12, 18, ….66}

A: The objective is to denote the set {6, 12, 18, ….66} in set-builder form.

Q: Describe and explain about SSS Postulate and give one example showing this postulate. (Explanation…

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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…

Q: (2) Give an example of a universal set U and a set A so that U is infinite and A is infinite and A…

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Q: QUESTION 3 Determine if the following logical expression is a tautology or contradiction. (p^¬q) v…

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Q: Explain the idea of cardinality. When is a set denumerable? Show that the union of two denumerable…

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Q: U=(4,5,6,7,8,9,10,11,12,13,14,15) U is the Universal set. A=(x)x is a natural number and 9 ≤x

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