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 multiple of 5}. %3D Describe each of the following sets. (a) AnB (c) AUB (b) Bnc (d) An (BUC)

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: 1. Let S = {1,2, 3, 4}. (a) How many relations are there on S? (b) How many are reflexive? (o) How m…

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A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

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Q: Let A = {x € Rx > 5 and x 15 and x 8 and x < 12

A: Given:- A=x∈R|x≥5 and x&lt;18 B=x∈R|x≥15 and x≤22 C=x∈R|x&gt;8 and x&lt;12

Q: A is the set of odd number greater than 5 and less than 23 n (A)=

A: A is the set of odd numbers greater than 5 and less than  23

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Q: . The sets A, B, C are given by A = {0, 1,2}, B = {a,b) and C= {b,c,d). (a) Find A x B. (b) Find (A…

A: A=0,1,2B=a,bC=b,c,d Remember : A×B=a,b|a∈A, b∈B

Q: (a) Show that if (a,342) = 171 and (b, 342) = 171 then (a+b,342) = 342. %3D %3D (b) Show that if (a,…

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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: [16] 1. Represent each pair of sets A and B on a number line, then find AUB and An B in interval…

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Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

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A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

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Q: Find the indicated sets. (a) P({1,2} × {3}). (b) P({1,2}) × P({3}). (c) {X e P({1,2,3}) : 2 EX}.

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Q: 1. (a) 2 Let = (1, 0, -2) and = (-4, 2, 3). Find a real number x such that (ট' –æè) ⊥ à. (b)-1 (c) 3…

A: Let .To find a real number  such that .

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: 2. Transform this LP into its DUAL counterpart. min 3x, + 2x2 - X3 subject to X1 + x2 = 5 -1 < x, <…

A: Transform this LP into its DUAL counterpart. Our problem can also be viewed as,   MIN  3x1 + 2x2 -…

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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: - If A = {2,3} and B = {x | x ≤ Z+,x <3}, then A x B= Select one: O a. {(1,2), (1,3), (2, 2), (2,3)}…

A: Given that the setsA=2,3 and B=x | x∈Z+ , x&lt;3

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A: Apply formula of combination and compare

Q: 1. Two sets A and B as under: A = {(a, b) e Rx R:a-5 < 1 and b-5< 1}; B = {(a, b) e Rx R: 4(a-6) +…

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Q: (1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7}. Compute the…

A: By the authoring guidelines of Bartleby, we can answer only first three subparts, please post other…

Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

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Q: Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q :1> -5} (b) A =…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: 1. Let A = {b,c,d,e} and B = {a,b}. (a) Find AU B. (b) Find A - B. (c) Find P(A) (power set of A).…

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Q: 1. Let A = {1, 2} and let B = {x, y}. Write out the following sets by listing out all of their…

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Q: Evaluate each of the sets A-E and write the answer in list format: (a) A = NUZ (b) B = {2x: x €Z}…

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