a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element? c Does the set S have a first element? d Does the set S have a last element? e Is the set S well ordered? May you explain the answers , discrete maths?

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Q: Matnces 49 00 O Let A = ーリ fFind , 和 the a, b, and c relation be tween is A I,? In this case what is…

A: Given  A=100a-10bc1 A2 is given by A2=A.A=100a-10bc1100a-10bc1               =…

Q: 1. Let A = [1, 3], B = (2, 5], and C= {2}. Write the inequalities (or equalities) that specify each…

A: We will just use of definitions of different type of sets

Q: If ACB and BC A then A= B I F If A= B then Ax B= B× A. I F For any set A, fo(Ax B) = gɔ(A)× p(B) T F

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A: The symmetric difference of two sets are defined here as,

Q: 1. R is the relation defined on Z as follows: Vm, n € Z, mRn 5|(m² — n²). (a). Prove that R is an…

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Q: Which of the following does not denote a set?   a. N={x|x≥0} b. S c. {1,2,3} d. 2R3

A: "Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If A and B are sets, then A and B are equal if and only if Vx(x E A + x E B). We write A = B, if A…

A: If A and B are equal sets then it implies A⊆B, B⊆A . And A⊆B, B⊆A implies A=B .

Q: Write the set using the roster method. C={a|ais a multiple of 3and18≤a≤34}

A: Given, C={a|ais a multiple of 3 and 18≤a≤34}   Here a is a multiple of 3 and it lies between 18 and…

Q: 4. Using laws of set theory aided by two-column proof, show that AU (B – C) = (AU B) – (C – A). %3D

A: Solution As we know A-B = A ∩ Bc

Q: QUESTION 6 Let F(x,y): "x is friend with y", N(x). "x is funny", W(x): "x is wise", R(x): "x is…

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Q: True or False? 9. Let A, B, and C be any sets then C − (A ∩ B) = (C − A) ∪ (C − B).

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Q: Let A be the set of students {Tom, Jim, Lisa, Mary}. Let B be the set of courses {C100, C200, C300}.…

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Q: Another term used to describe intervening relations is   a. unusual.   b. specification.   c.…

A: Correct answer  is   (a).  unusual

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A: Explanation of the answer is as follows

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A: Solution

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Q: Is Ra partially ordered relation ? ? . Why ?..

A: Solution is below provided

Q: 2. Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

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Q: (2) Let's double-check our understanding of set operations (a) Is P(AUB) = P(A) UP(B)? (b) Is B -…

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Q: Given the relation S below, use ordered pair notation to express the relation S o S. 2 2 a S b C

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Q: QUESTION 3 Let F(x,y): "x is friend with y", N(x): "x is funny", W(x): "x is wise", R(x): "x is…

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Q: 1. Suppose R = {(1,1), (1, 4), (2, 1), (2, 2), (3, 2), (3, 3), (3, 4), (4, 1), (4,2), (4, 4)} be a…

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Q: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: see attachment

A: (a) {(2, -5), (4, 2), (3, 5), (0, 1)} Here, each element in the domain corresponds to exactly one…

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A: Given data:   Monday Tuesday Wednesday Thursday Friday Jean 10 16 13 17 21 Mary 9 16 15 10 13…

Q: Find two sets: Find sets A and B such that JA| -4, 8|-6 and JA or B-8. How large is A and B|? 3…

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