Suppose U = N = { 1,2,3,… … } is the universal set. Let,  A = { 1,2,3,4 }, B = { 3,4,5,6,7 }, C = { 2,3,8,9 }, E = { 2,4,6, …} Ac A ⊕E

Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

Q: 2. For each of the following relations on the set {1,3,4, 7}. • R1 = {(7, 7), (1, 1), (4, 4), (3,…

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Q: (a) An (B − A) = Ø.

A: Given data:- The given equation,  A∩(B-A)=φ

Q: Given a set S, the following are true statements regarding conv S: Select one or more: O a. None of…

A: Conv of a set S: Conv S is the smallest convex set containing S. Given: S=2, -7, 4, 0, 4, -2, 5, -5,…

Q: Consider the relations R = {(1,5), (2, 2), C S%3D { (2,4), (3, 4), С T3 {(1,4), (3, 5), С on the set…

A: The solution is given below.

Q: Let U = {-5, –4, –3, -2, -1,0, 1, 2, 3, 4, 5} be the universal set, and let A = {-5, -4, -3, -2,…

A: Note:- In given problem, notation used for sets are different in information and problem (sub…

Q: For every two sets A and B, if A–B = B – A , then A-B=Ø. For every two sets A and B, ANBCA-B.

A: (4) Given A and B are two set such that A-B=B-A for every A and B We have to show that A-B=∅ Now,…

Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: For the universal set U and the given sets U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5}, B = {1,2},C =…

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Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A={2, 3, 6, 7}, and B = {3, 5, 6}. Find the set A¹ n B'. A' B'= (Use…

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Q: Which of the following pairs of sets can be placed in a one-to-one correspondence? Why? (a) { a, b,…

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Q: Let a, b € N. Choose all correct statements. O gcd(-a, b) = gcd(a, -b) O ged(2a – b, a + b) =…

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Q: 18 Let U={1,2,3,4,9}, A={2,3}, and B={4,9}. In each of the following questions, find the indicated…

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Q: (e) Given the sets A = {-5, –3,0, 1, 5} and B = {-4, –3,0, 1, 5, 6}. Find AN B. (A) {-5, –4, –3, 0,…

A: We have to find out the intersection part

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

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Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: Prove T = { ... , −56, −42, −28, −14, 0, 14, 28, 42, ... } is a countable set

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Q: Consider the set A = {2, 4, 6, 8} with an operation defined by the table. 2 4 6 8 2 8…

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Q: Consider an indexed family of sets. B={Bn:neN}, where Bn = {2n, 2n + 1, 2n+2, ..., 3n}. (a) Write…

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Q: If A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is the…

A: Introduction: The quantity of items in a mathematical set is known as a set's cardinality. It may be…

Q: Find two sets A and B such that A E B and AB.

A: A=ϕ. And B={ϕ}Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: Let A = (5.8,9.17 19), B = (5,8,13 19}. C = {8,13,19), D= {5,13}, E = (9), and U = {5,8,9,…

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Q: 2}

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.