AUB C-D AND Ā B BnD CUD

Q: 4. Prove that if A and B are convex sets, then AN B is also convex.

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Q: 2. Let B,C,D,E be the following sets: B = {x|x a real number, x² <4}, C = {x|x a real number,…

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Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

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Q: The universal set in these problems is U = {−10, −9, −8, . . . 18, 19, 20}. Note that this set is…

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Q: Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) =…

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Q: 1. Let U= (xlx is a natural number and x ≤ 20), A=(2,3,5,7,9,12,19), B = (1,5,8, 9, 10, 15, 16, 18)…

A: We need to find the given sets

Q: The universal set in these problems is U = {−10, −9, −8, . . . 18, 19, 20}. Note that this set is…

A: The given universal set is ,    U= { -10,-9,-8,.........18 ,19,20 }…

Q: Let A and B be sets. Prove that Ac B if and only if AnB = A.

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Q: Describe the following sets in words and/or pictures: 1. {(x,y,z): y = x2 } 2. {(x,y,z): y > z }…

A: Here, to describe the given sets in words and/or picture.

Q: X, Y and Z be subsets of the set . Verify the following properties: XCY XUY=Y⇒XnY=X -UI 3)

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Q: Show that the following pair of sets have the same cardinality. A = (5, 9] and B = (1, 2) ∪[4, 7]

A: Two sets A and B have the same cardinality provided there is a bijection from A to B.

Q: Let A = {p, q, r, s}, B = {r, t, v}, and C = {p, s, t, u}. Let the universal set S be S = {p, q, r,…

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Q: 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 =…

A: Here given that    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} That means V is set…