Suppose n(U) = w, n(A) = x, n(B) = y, and n(A ∪ B) = z. (a) Why must x be less than or equal to z? (b) If A ≠ U and B ≠ U, fill in the blank with the most appropriate symbol: <, >, ≤, or ≥. w?z w?y y?z x?w Draw a Venn diagram illustrating the composition of U. (Enter 0 for any empty subset. No hand written solution and no image

Q: Two equalence classes are either disjoint or identically.

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Q: F oranges pineapples bananas apples pears V рeas carrots beans potatoes corn

A: Given:  Venn diagram where  F is subset of C and S is subset of F then  S is subset of F and S is…

Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

A: Given query is to find the value of the expression.

Q: 10. Let A, B, and C be sets. Use the identities to show that (A U B) n (B U C) n (A U C) = Ā n Bn T.

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Q: Draw Venn diagram for each the following: (i) AUB when A C B. (ii) AUB when A and B are disjoint…

A: Q 8  Draw Venn diagram in following cases

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A: In formal language theory, a formal grammar is a mathematical model used to describe a language. It…

Q: QUESTION 19 Match the set operation with its definition. B ANB B AUB 8 AC a. {x|x €A and x EB} b.…

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Q: 17. Use a Venn diagram to illustrate the relationships AC B and B C C.

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Q: 13. Let A = {ab.ceg.hilo},B = {b.cdfiikln} and C = {cdehiklmo} (a) Draw a Venn diagram showing the…

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Q: Q1. Given the Venn Diagram: Prob. Venn Diagram A 0.3 0.1 B 0.4 Find Pr( Not-A 'AND’ Not-B ). А. О.1…

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Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Use a Venn diagram to answer. If n(A) = 8, n(B)= 10 and n(A N B) = 3, what is n(AU B)? %3D n(A U B)…

A: Answer - Given,   n(A)  = 20,  n(B)  = 24,  and  n( A∩B )  = 3             Find n( A U B )   = ?

Q: 2. Let U= {x:x E Z ,0<x< 10} , A= { x:x € N ,x² – 5x = -6}, B ={ a , b} and C={c, d, e }: ( Hint: a…

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Q: i.Given that : U= {x | x € Z, 15 xs 14}, A = {2, 3, 4, 5} B= {4, 5, 7, 8} C= {7, 9, 10, 12} D= {3,…

A: Multiple operations can be used on a set. The operations asked for in this question are given below:…

Q: 3. Let U= {x: xEZ, 0<x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and a.…

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Q: Y: The set of yellow pieces H: The set of hexagonal pieces L: The set of large pieces B: The set of…

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Q: 2. Let A = {1,3, 4, 6, 9}, B = {r | zEN and z 7} and U = N. List elements of the following sets.…

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Q: a) Find the probability that a randomly selected defect from the table will be in the categor "Wrong…

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Q: 2. Let A = {r | r is older than 25}, B = {y |y _is older than 50}, C = {z | z is between 20 and 30}.…

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Q: Q3. Given the Venn Diagram and its Carroll Diagram: wwm w Prob. Venn Diagram Incomplete Carroll…

A: The diagram shows the probability Venn diagram and Carrol diagram.

Q: 1. What kind of set is V = {x ∈ N I x < 1} ?

A: Given,  V = {x ∈ N I x &lt; 1}

Q: The set {(a,b) : a EA and b EB} denoted by ...............

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