1. Draw a Venn diagram showing the following: (a) Two sets A, B, where every element of B is an element of A, (b) Three sets A, B, C, where every element of C is an element of B, but no element of C is an element of A.

Q: You have 10 of each of the following type of objects: A, B, C, and D. The objects of each type are…

A: 1. There are total 40 different objects, 10 belonging to each of types A, B, C, and D- A1, A2, …,…

Q: Suppose that A, B, and C are sets. Prove that if AC B, then AnC C BN C. Disprove that if An C CBn C,…

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Q: 1. Suppose A = {a,e}, B = {a,b,h,l}, and C = {e,b,t}. We will consider A, B, and C as subsets of the…

A: The elements in the set A is a,e. The elements in the set B is a,b,h,l. The elements in the set C is…

Q: 1. Let A = {2, {2},{{2}}}, B = {2, {2}, {2, {2}}}. Is A C B? Is BC A? Is either A or B a proner…

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Q: Which of the following is the correct representation of A {2,4,8,16,32,... } in set builder…

A: To determine the correct representation of A=2, 4, 8, 16, 32, ... in set builder notation.

Q: 12. For all sets A, B, and C, (AUB) - CC (A-C) U (B-C).

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Q: If f(x)= Jx and g(x)= 2x+5, then state the domain of (gof \x).

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Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

A: Given  A=1,2,3,4R=1,2,1,3,2,32,4,3,1S=2,1,2,4,3,2,3,3,4,3

Q: 8. Shade the sets с (with B B (Anc)n B and (ANC)UB.

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Q: If A={3,7,9,13,22}, B={5,7,14,23,31}, and C={8,9,15,23,25,31,33}, then what is (A∪B)∩C?

A: It is given that A=3,7,9,13,22,B=5,7,14,23,31 and C=8,9,15,23,25,31,33. It is required to find…

Q: Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

A: First, we need to know definition  of the Cartesian Product of a set is with itself. The Cartesian…

Q: Answer true or false to each of the following (show your work):

A: 5.  a) p(3) is "17<25" which is TRUE. b) p(2) is "12<25" which is true and p(5) is "27<25"…

Q: Draw figures showing two sets A and B, so that B C A. DO NOT draw the set elements.

A: As we know the meaning of B ⊆ A is that B has few or all elements equal to the set A B ⊆ A subset…

Q: Given 2 sets A and B with A=blue, red, green, orange, yellow, purple  and  B=pink, black, orange,…

A: The given sets are A=blue, red, green, orange, yellow, purple and B=pink, black, orange, yellow,…

Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: Let A = {1, 2, 3, 4}, B = {2, 5, 6}, and C = {7, 8, 9}. Find each of the following and draw a Venn…

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Q: 4. Let M = {Civic, Corolla, Altima} and S = {Coupe, Sedan} List the elements of M x S.

A: Let M=Civic, Corolla, Altima and S=Coupe, Sedan

Q: If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that…

A: Given 1/3 of blocks in set A are red and 1/4 of blocks in set B are  red

Q: 6. Draw the Venn Diagrams for each of the combinations of the sets A, B and C: (a) AOBOČ (b) A-(B C)

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Q: List all three-person groups that can be formed from individuals: Jenni, Minttu, Jaana, Kari, Pekka.

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Q: Let A = {Becca, Darius, Julian, Larry, Solly, Bess), B = {Larry, Solly, Darius}, and C= {Mellie,…

A: Given that                      A={Becca, Darius, Julian, Larry, Solly, Bess}…

Q: 2. If A, B and C are sets, use a membership table to prove or disprove: A U (B N c) = (A U B) n (A U…

A: First we prove that left hand side is subset of right hand side and then right hand side is subset…

Q: 1. If we know that |A|<|B| and that A∪B=B, what can we say about the relationship between A and B?…

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Q: 20. Which of the following is NOT part of an extensive-form representation? a. When each player has…

A: Given : Extensive form representation. To find: Which of the given options is not the part of…

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: 2. Let A = {a, e, g, i, s}, B = {g, i, m, o, p, y}, and C = {a,b, o, r, t}. Find each of the…

A: Sets:A=a, e, g, i, sB=g, i, m, o, p, yC=a, b, o, r, t

Q: If A,B and C are sets, then (AUB)-C=(A-C)U(B–C).

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