Match the sets to equal sets:  (Ac∪B)c(Ac∪B)c  A∩(B∪C)A∩(B∪C)  (A∪B)c(A∪B)c  A∪(B∩C)A∪(B∩C) Ac∩BcAc∩Bc A∩BcA∩Bc (A∩B)∪(A∩C)(A∩B)∪(A∩C) (A∪B)∩(A∪C)(A∪B)∩(A∪

Q: If P(A)=0.2, P(B)=0.3, and P(A∪B)=0.5, then P(A∩B)=?

A: Solution

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

Q: Let A, B, C, D be sets. Prove that (a) A × (BN C) = (A × B) N (A × C') (b) (A × B) N (C × D) = (AnC)…

A: Given (a) A×B∩C=A×B∩A×C (b) A×B∩C×D=A∩C×B∩D

Q: For the sets A, B, and C (let A = {1, 2, 3, 4}, B = {1, 3, 5) and C = {2, 4, 5}), find: A x B, (An…

A: 1,  A × B: The Cartesian product of A and B represents all ordered pairs where the first element…

Q: P(A) = 0.8; P(B) = 0.7 and P(A∩∩B) = 0.6.  Determine P(A∪B).

A: Given problem Given that   P( A ) = 0.8 P( B ) = 0.7 P( A ∩ B ) = 0.6  P( A ∪ B ) = ?

Q: 1. Suppose we would like to define a function f : Q→ Z by the formula f(r) = a +b, where a, b € Z…

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Q: Let 4 -1 1 4 -3 A = 1 14 4 1 2 4 Find M21 and C21. M21 = i C21 i

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Q: Either give an example or explain why no such example exists! Disjoint, non-empty sets A ,B, and C…

A:

Q: Let A and B be the multisets {3 ⋅ a, 2 ⋅ b, 1 ⋅ c} and {2 ⋅ a, 3 ⋅ b, 4 ⋅ d}, respectively. Finda) A…

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Q: Multiply: 3y2(2y³ - 4y² + 5y) a. 6y5-12y + 15y³ d. 5y5-y¹ + 8y³ b. 5y6-y4+8y² e. 6y5-y4+ 15y³ c. 6y6…

A: SOLUTION-

Q: Does A − (B − C) = (A − B) ∪ C hold for all sets A, B, and C? Prove or give a counterexample for…

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Q: Given that: 4x2 +3y = 2z . Which of the following are true? a. 3y=2z+4x2 b. 2z=4x2-3y c.…

A: Given that: To determine the true statement.

Q: Let A = {x, y, z} and B = {w, x, y}. List the elements of ℘(A). Find ℘(A) ∩ ℘(B).

A:

Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: Let z₁ = 7 - ni, 2₂=2 m+ 3 i, and Z3=4-7 i If 2 Z₁ + Z₂ + 2 z3 = 28+5 i,find m and n: m n=

A:

Q: Let A,B,C,D be sets. Prove that (A∩B)×(C∩D)=(A×C)∩(B×D)

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Q: Give a counterexample to show that the statement For all sets A, B and C, if A⊈BandB⊈C,thenA⊈C.…

A: