Define the following sets:A={x, y, z, t}B={s, t, u, v, w, x}C={t, v, u, y}D={s, t, u, v}Determine whether each of the statements is true, or false. State your answer clearly. (You do nothave to justify your answers, but they have to be correct.) All items are mathematically meaningful.(a)y∈C(b)D⊆B(c)|C|=|A|(d)C=A

Q: Are the given sets equivalent? A = {1, 2, 9} and B = {3, 4, 6, 7} yes O no

A: In this question, we have to tell set is equivalent. The definition of equivalent sets states that…

Q: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

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Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: (d) D= {n €Z:n −3} (e) E = {}\{}

A: Here we have to find the set D and E in list form.

Q: Give an example of sets A and B for which |A U B| = |A|+|B|.

A:

Q: Given two sets A and B, are the sets A − B and B − A necessarily disjoint? Give a proof or a…

A: Given: A and B are two sets. We have to explain A-B and B-A is necessarily disjoint.

Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

Q: Prove or disprove: For all sets A, B, we must have 24A2(AAB) = 2B.

A: Given, 2A∆2A∆B

Q: ng a die once. Let A (1, 2, 3, 4), B (2, 4, 6) %3D %3D

A: Given that  Rolling a dice once.    Let  A={1,2,3,4}  B={2,4,6} Mutually exclusive events - Two…

Q: Give clear handwritten answer). Find the complement of the set given that u = {3, 4, 5, 6, 7, 8,…

A: Find the complement of the set given that u = {3, 4, 5, 6, 7, 8, 9, 10, 11 } {5, 7, 9, 10}

Q: Prove using the properties of set operations: a. B-A and An B are disjoint.

A: Solution

Q: State whether each of the following statement is true or false. Justify your answer.(i) { 2, 3, 4, 5…

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Q: Consider the sets: A={a,b,c} B={b,c,d} C={a,c} D={d,c,b} For each statement below, state whether the…

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Q: 1. If={1,2,3,4,5) and = (0, 0, (5), (1,2), (1,5), (3,4), (1,2,5), (2,3,4), (3,4,5), (1,2,3,4]} then…

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Q: Q14A. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: The given problem is to find the intersection of sets B and D with the given defined sets A,B,C,D.

Q: Assignment Instructions: Answer the following questions. Remember to show all relevant work and…

A: Here given:- A,B,C are sets For any two sets S1 and S2 S1∪S2=S1+S2-S1∩S2   A∪B∪C=A∪B+C-A∩B∪C…

Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). - | 2x2 — 2х — 14 -3x2 – 2x – 1 |…

A: topic - functions and sets the two sets are equivalent and disjoint sets therefore ,i and iii only

Q: B AUBNC: Au BNC: 12 6 6 17 13 U How many elements are contained in each of the following sets?

A: From the above venn-diagram, we have  U={6,10,11,12,13,17}. A={6,10,12,17}. B={6,12,17}.…

Q: Insert C or in the blank so that the resulting statement is true. {-2, -1, 2}_{-2, -1, 1, 2}

A:

Q: Disprove: For all sets A, B, C, and D, (AUC) × (BUD) C (A × B) U (C × D).

A:

Q: If={1,2,3,4,5) and = (0,0, (1), (2,3), (4,5), (1,2,3), (1,4,5), (2,3,4,5)} then If Q=set of positive…

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Q: If the statement is true for all sets C and D, write "true." If it is not true for all sets C and D,…

A: Given: C≠∅U≠∅C⊂U We have to check that if U⊆∅ is true or false.

Q: wing A= {2,5,6}, B = {1,2,3,7), C= {x|x € [?][?][?], x>0, x <10}, D={10,11} Write out AnB a.

A: Since set C is not clear, so I will solve only part a. Solution a: Given A=2,5,6, B=1,2,3,7

Q: Write each of the following set in form {x :x € S and P(x)} (or builder notat a. A= {1,2,3} b. C={0,…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: Give an example of four sets A, B, C and D such that (AUC) x (BUD) ≤ (A x B) U (C x D).

A: The set A is a subset of B if every element of A is in B

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: iv C = {1,2, 3} v How many elements are in the powerset of N = {1,2, 3,... ,n} for some n E N?

A:

Q: A = {c, v, x} B = {f, v, x} Let %3D Find A U B. ..... Select the correct choice below and, if…

A: A union B involve all elements of A and B without repeating