Let A (k,s), t.en the power set of A is:

Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

A: First show if A∪B=A∩B then A=B, then show that if A=B then we have A∪B=A∩B.

Q: Let A, B, and C are three sets, prove that Cx (A – B) = (C x A) – (C × B) C.

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Q: A. Let u = (1, 2, 3, 4), v = (0,2, t, 3), and w = (1,1,1.1). „Find t so that the angle between u –…

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Q: Let V = { a, e, i, o, u } andB = { a, i, k, u}. Find V – B and B – V

A: V-B= elements those lie in V but not in B  Hence, V-B={e,o}

Q: ze² = πi) 4 Verify that i is

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Q: 3. Which of the following statements are true? There may be more than one correct answer. A. Ø CA 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: 3 Shade the set (R nc)UT. =(RAC) UT and C-(RUT)

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Q: For P (2, 8, 9, 15), Q (2, 7, 11), and R (3, 7, 8, 11), find PU (an R). CITE Select the correct…

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Q: Find the value of z so that -8' 1 -4 is in the set M= span 12 2 2 Enter the value below:

A: Let's find.

Q: Let A:= {2} and B:= {2,3,5}. Give the Cartesian product of sets A and B, furthermore the power set P…

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Q: Is X and Y are independent

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Consider (Power set of R, c). Let B= {{3},N,Z,Q,R-Q), then Sup(B)= %3D O a. R O b. Q O c. R-Q Od.…

A: Consider Power set of R, ⊆ Let B=3, N, Z, Q, R-Q then SupB is the set S∈Power set of R such that…

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: Let a, b e N. Choose all correct statements. O gcd(a, b) = gcd(-a, -b) O gcd(a, b) = gcd(a², b²) O…

A: We apply property of GCD to solve the problem

Q: 2. Let C be the circle |z −1 < 2 taken in the positive sense. Evaluate the following integrals:…

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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: 2. Let f and g be permutations. Show that the fgf¯ is the same as the order of g. order of h =

A: our objective is to prove the result

Q: Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered…

A: Given that: n(A)=p, and n(B)=q

Q: Give an example of sets S and T where P(SUT)メP(S) U P(T)

A: Let, S={3,7} and T={4} be any set and P(SUT) be a power set of union of S and…

Q: Let R = {(a, b), (b, a), (a, c), (c, d), (d, a)} a. Is (a, c) E R³? b. Is (a, a) E R²? c. Is (c, c)…

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Q: Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in…

A: Recall the following facts.

Q: . Let A Find A.

A: Given matrix is Firstly, we find A^2

Q: 3A, B E {sets} such that A CBAA= B.

A: To check whether the given statement true or false: ∃A,B∈sets such that A⊆B∧A=B

Q: Let A = {0, 1, 2} and let B = {-2, 0, 1, 2}. %3D

A: Given,        A=0, 1, 2, and B=-2, 0, 1, 2

Q: Let A = {1, 2, 3, 4), B = {1, 3, 5) and C= {2, 4, 5). Find: A x BI, IP(A x (BNC)), IP(A x P(B))|,…

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