Find an example of sets A and B such that |A|=3,|A|=3, |B|=4,|B|=4, and |A∪B|=5.

Q: For the sets A, B, and C (let A = {1, 2, 3, 4}, B = {1, 3, 5) and C = {2, 4, 5}), find: A x B, (An…

A: 1,  A × B: The Cartesian product of A and B represents all ordered pairs where the first element…

Q: Match the sets to equal sets:  (Ac∪B)c(Ac∪B)c  A∩(B∪C)A∩(B∪C)  (A∪B)c(A∪B)c  A∪(B∩C)A∪(B∩C)…

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Q: 1. example of sets A and B for which A B but Ag B.

A: Cardinality of a set is number of elements in the set.

Q: 1. Suppose we would like to define a function f : Q→ Z by the formula f(r) = a +b, where a, b € Z…

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Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

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Q: Prove that if A1,A2,…,An and B are sets, then (A1−B)∪(A2−B)∪⋯∪(An−B)=(A1∪ A2 ∪⋯∪ An)−B.

A: To Prove- Prove that if A1, A2, ...., An and B are sets, then A1 - B ∪ A2 - B ∪ .... ∪ An - B = A1 ∪…

Q: Is a R a maximal deal

A: No, it is not necessarily true that aR is a maximal ideal in a commutative ring R with unity. In…

Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

A: We Know that,  If U is a universal set and A be any subset of U then the complement of A is the set…

Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

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Q: Assume that A, B, C and D are sets. Verify that (A x B) U (C x D) ≤ (AUC) x (BUD).

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Q: Is this statement true or false.  Justify your answer. (Discrete Math)   For all sets A, B, and C,…

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Q: For all sets A and B,  (A ∪ Bc) − B = (A − B) ∪ Bc. An algebraic proof for the statement should cite…

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Q: Find the complement of the following sets: {x x > 5 and x E W} The set of integers greater than 4 or…

A: Complement set consists all the elements of universal set other than the elements of the set in the…

Q: Let A = {1,3} and B = {2,4}. (a) Draw a picture of the set A × B. (b) Compute P(A × B).

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Q: Given A={-4,0,11}, which elements of set are less than -1?

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Q: b. Use the Sum Rule for two sets to show that |A UBUC| = |A| + \B| + \C| – |A U B| - |A U C| – |B U…

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Q: Find the sets A and B if A − B = {1, 5, 7, 8}, B − A = {2, 10}, and A ∩ B = {3, 6, 9}.

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Q: (AB) - C = (A − C) – (B − C).

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