1.Let’s consider: U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, V = {0, 2, 4, 6, 8}, D = {1, 3, 5, 7, 9}, P = {2, 3, 5, 7}, where U is the universal set that covers V, D, and P. (A)  What is the value of |2P|? And list two elements of 2P.

Q: 6. Determine whether each set is finite or infinite. If a set is finite, find the cardinality. Write…

A: Note : " As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: Let A={3,6,9}, B={2,4,6,8}, C={ 1,2,3,4,5}and the universal set U={0,1,2,.,10}. Find each set (a)…

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Q: 7. (12 points) Use a proof by contradiction to prove: For all sets A, B, and C (A\C)n(B\C)n(A\B) = 0

A: Step 1: proof  let (A/C)∩(B/C)∩(A/B)=Φ this means ∃x∈(A/C)∩(B/C)∩(A/B) Step 2:⇒x∈A/C,x∈B/C,x∈A/B…

Q: (a) Let A, B be sets. Prove that A\(An B) = A\B. You may assume all sets in the question are…

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Q: U={1, 2, 3, 4, 5

A: *Note: As per policy only first three parts are answered. Given: U={1, 2, 3, 4, 5, 6}​, A={3, 4,…

Q: Consider the sets A {r|a E Z,-2<r < 2} {2) C = {1,3, 5, 9, 11} D = {-2, –1,0, 1, 2} E = {a, b, c, d,…

A: topic - sets

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: Trapezoidal rule: The value of definite integral of a function y=f(x) over the interval [a, b] when…

Q: Consider following five sets: I.{ , } { } II. { } III. IV. { , , } V. { , } Find all set(s)…

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Q: Consider the following statements about the powersets of sets A and B. Which of them are true? 1.…

A: The true statements are:2456Explanation:

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

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: Show that the set W of all whole numbers, W = {0, 1, 2, 3, . . 3, and N = 11, 2, 3, 4, . . 3 are…

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Q: 1. Let A = {−30, -10, 10, 30, 50} and B = {-20, -10,0, 10} be subsets of the universal set ε = {10x:…

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Q: Let A, B, and C be sets in a universal set U. We are given n(U) = 66, n(A) = 32, n(B) = 33, n(C) =…

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Q: 1) Finite Cardinalities A. For any two sets, is this statement true: n(AUB)=n(A)+n(B) - n(ANB B. For…

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