Find, the domain of each of these, ped pred cates where the doman is the set of untegers లు రుంకు

Q: Let A = {distinct letters occurring in the word HIPPOPOTAMUS}. What is |A|, the cardinality of the…

A: Cardinality of a set is defined as the number of distinct element in that set.

Q: When is a set compact?

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Q: For all sets A, B, and C, if B ∪ C ⊆ A then (A − B) ∩ (A − C) = ∅. Let the universal set U be {1,…

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Q: Let a = and a = The set (a, a, ) will span R unless h = (If there are no values of h that make the…

A: For an n-dimensional vector space any set of n linearly independent vectors will span the vector…

Q: Let X={a,b,c} and Y=∅. What is X∩Y? If the set is empty type ∅, otherwise write your answer in…

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Q: Let A and B be sets. Prove that A c B if and only if A NB = A.

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Q: Let A and B be sets. Show that A∪(A∩B) =A using a traditional verbal proof, a series of equalities…

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Q: display that if A is an infinite set, then whenever B is a set, A ∪ B is also an infinite set.

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Q: Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of…

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Q: Find conditions on sets A and B as subsets of R to make each of the following statements true. a.…

A: The objective of the question is to find the conditions on sets A and B that would make the given…

Q: For all sets A, B, and C, A, B, C- AU (B-C) = (AUB) - (AUC). Your answer cannot be

A: Given: Universal set: U=1,2,3,4,5 Statement: A∪B-C=A∪B-A∪C To give: A counter example to disprove…

Q: Let U be the universal set consisting of all positive even numbers. Let A be the subset of U…

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Q: For all sets D, E and F, if D- FCE-F then DUF CEUF.

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Q: Find conditions on sets A and B as subsets of R to make each of the following statements true. a.…

A: The objective of the question is to find the conditions on sets A and B that would make the given…

Q: If A and B are sets such that ACB then A × BC B x B. true false

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Q: Let A, B, and C be sets. Use the the identity A − B = A ∩ B, which holds for any sets A and B to…

A: Identity Used: A-B=A∩BC Property Used: Intersection of sets is associative A∩(B∩C)=(A∩B)∩C

Q: et the domain be the set of all people. Let: P(x, y): x knows y. Vhich of the following is the…

A: Here we use predicate logic

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

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Q: Consider two sets A and B defined in the universal set U. Set A contains elements that are prime…

A: Prime numbers less than 20 (Set A): A prime number is a natural number greater than 1 that has no…

Q: Let ℱ and ? be a non-empty families of sets with ℱ ⊆ ?. Show that ∩ℱ ⊆ ∪?.

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Q: Suppose that U1, U2, ..., Un is a collection of n open sets. Prove that their intersection…

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