1. Let A= Z+Z+, B= {n € z|1 ≤ n ≤ 10} {n Ezl1sns 10} C= {10, 20, 30, 40, 50} Evaluate and falsify the following (a) Set A is a universal set (b) B and C have no common elements (c) C is a subset of B (d) B is a subset of A (e) C is a subset of A

Q: (c) iii) Common elements of two sets A and B are denoted by: (a) AUB ANB (c) ACB (d) AB ins

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Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the…

Q: 2. Let A = {1, 2, 3}, B = {n € P: n is even}, and C = {n EP:n is odd}. (a) Determine An B, BNC, BUC,…

A: 2 Given that A=1,2,3, B=n∈P:n is even and C=n∈P:n is odd. Here, B=2 And C=3,5,7,11,13,17,19,...... a…

Q: 2. Find sets A, B, C, D such that the sets (AN B)U (C\ D), ((An B) U C) \ D, An(BUC) \ D, An(BU(C\…

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Q: 4. Prove the following distributive law for finitely many sets: An (B₁ U B₂ U B3 U ... U Bn) = (An…

A: We have to prove distributive law for finitely many sets: A∩B1∪B2∪B3∪....∪Bn=A∩B1∪A∩B2∪....∪A∩Bn.

Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

Q: 25. How many elements does each of these sets have where a and b are distinct elements? a) P({a,b,…

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Q: The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6,…

A: It is given that the universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.If A = {1, 2, 3, 4, 5} and…

Q: 3. Let R be the universal set and D = (-7,4], E = (0,8), F = {r: r ≤ 10, r € R} be the subsets of X.…

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Q: 8

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Q: Represent the following sets by using listing method: (a) r:xeZ, such that x' <3}

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Q: N={0,1,2,3,...}, Z+={1,2,3,......} Find the following set is true or false? (N - Z+) ⊆ {0,1} Select…

A: Given, N={0,1,2,3,...}, Z+={1,2,3,......}

Q: How would a mathematician say: “Take the set {s,u} and give it the name G” Let D = {u,j}. Is j a…

A: 1. Let, G=s,u 2. Consider a set D=u,j. A set X is a subset of another set Y. If all the elements of…

Q: Let A = { c, d, f, g} B= {f, j} C = {d, g} True or False: B is a proper subset of B? True O False

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Q: Invent an interesting set A with AC {a, b, c, d, e, ..., z} and |A|≥ 6 and another interesting set B…

A: As per our guideline, we are supposed to solve only first three subparts. Kindly repost other…

Q: 1. Suppose that A = {r:x €N and r is even}, B = {r:x €N and r is prime}, C = {r :x €N and a is a…

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Q: Use the method of intersection of sets to compute the following. (a) GCD(12,16,8) and LCM(12,16,8)…

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Q: 5. Give an example of a collection (A,, of sets with the properties that: (a) A, # Ø for each i> 1,…

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Q: How many proper subsets are there of the set A = {Mallory, Janet, Kaitlynn, Akira}?

A: Given,         The set A= Mallory, Janet, Kaitlynn, Akira .

Q: If a finite set A equals the union of k subsets A1, A2,..., Ak, then the number of elements in A…

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Q: 7. Consider the sets A = {x |x € Z, -2 <x < 2} B = {a,b, c} C = {1,3, 5, 9, 11} D = {-2, –1,0, 1,2}…

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Q: Let U= (1,2,3, ...,20}. Write the following sets by listing the elements in braces. (a) {xEU|x is…

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Q: Is the following true or false? ∅ ∈ {∅,a}

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Q: Let A = {p, q, r, s}, B = {r, t, v}, and C = {p, s, t, u}. Let the universal set S be S = {p, q, r,…

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Q: 1.Let’s consider: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, V = {0, 2, 4, 6, 8}, D = {1, 3, 5, 7, 9}, P =…

A: Here given that    U={0,1,2,3,4,5,6,7,8,9}V={0,2,4,6,8}D={1,3,5,7,9}P={2,3,5,7} That means V is set…

Q: 3. For each of the following entities, say whether it is a member of P(N), and explain why or why…

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Q: Refer to the following diagram where U is the set of all tourists surveyed over a 1 week period in…

A: Introduction: A Venn diagram is given, representing the events A, B, and C, within the universal set…

Q: 4. If A = {1, 2, 3, 7} and U = universal set = {1, 2, 3, 4, 5, 6, 7, 8}, the complement of A is O…

A: Given: A=1,2,3,7U=1,2,3,4,5,6,7,8