Can you break these 3 questions down in a step by step so I can understand. 1. Find two sets A and B such that E B and A ≤ B. 2. Show that if A ≤ C and B≤ D, then A*B ≤ C*D 3. Let A, B, and C be sets. Show that (A-B) - C ≤ A-C

Q: 1. Suppose you are choosing your lunch. You have to choose between: • A steak or a hamburger • Fries…

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Q: 3. Let U = {1,2,3,4,5), B = {4,5) and A and B are non-e of the following: a.) Bnc = {5}, C c A, B C…

A: U = {1,2,3,4,5} Given B = {4,5} A and B are non-empty sets

Q: For any sets A and B , (ANB) = %3D O a. ANB O b. ANB Oc. B-A С. В- А O d. U-B

A: By using identities of set theory :

Q: 1. example of sets A and B for which A B but Ag B.

A: Cardinality of a set is number of elements in the set.

Q: 2.5.22. Let A, B,C be three sets. Prove that if A \ B C C, then A \C C B.

A: Given: Let A,B,C be the three sets. A-B contained in C

Q: , B, and C which satis

A: Given as, A= {1, |B|, |C|} B= {2,| A|, |C|} C= {1, 2, |A|, |B|}

Q: List the elements of the following sets: 1. A= {x|x€ N, 3 <x< 12) %3D 2. B (x|x E N.x is even, x<15}…

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Q: Please fill in the blank. (2 pts, 0.5pt each, due in lab) a. Si S2 = {-3, 1, 4} b. S1'| × |S2| = c.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 5. If p and q are positive integers, then {pn:neN} n {qn:neN} # Ø.

A: Given that, p and q are positive integers.

Q: suppose you have a set A and B WITH |A| = 14 AND |B| = 23 WHAT IS THE LARGEST POSSIBLE VALUE FOR |A…

A: Given that the sets A and B are such that |A|=14 and |B|=23. We know that the union of A and B is…

Q: C = {whole numbers} and D = %3D {rational numbers} A={multiples of two} and B = {multiples of three}…

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Q: The subject is on Elements of Set Theory.I really need help and explanation.

A: Given that,

Q: Suppose you have sets A and B with |A| = 4 and |B| = 20. What is the largest possible value for |A^…

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Q: 3. If A and B are two sets such that A C.B, then what is AUB? 4. Find the union, intersection and…

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Q: Let A = (1, 2,3,4, 5) and B = (0, 3, 6). Match the given sets on the left to the sets on the right.…

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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: What can you say about the sets A and B if AB=A?

A: Consider two sets A  and B. Then the symmetric difference between these two sets is denoted by A⊕B.…

Q: 7. Suppose A,B and C are sets. If B≤C, then A x B=AXC.

A: 7)

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: Given the following sets, which of the following statements is correct? Choose one answer and…

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Q: 3. Given X = {1,2,3,4,5,6,7,8,9,10}. Show that if you pick six number from set X, the sum of two of…

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Q: List the following set. Your answer must use curly braces and contain no spaces for it to be gr…

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Q: 2. Given two sets A and B, if n(A U B) =43, n(A) = 32, n(A n B) = 5, find n(B). %3D

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Q: 2. Let |A| = 12, |B| = 7,|C| = 9, and exactly 3 elements are common for A and B, exactly 5 elements…

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Q: 3. Let A = {1, 2, 3, 4). List all the subsets B of A such that d. [BB] {1,2} ≤ B; e. BC {1, 2}; f.…

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Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Max Z 3x, +5x, +2x, -2x, +2.x, + x, 10 3x, + x, - x, s 20 X, x, and x, 20 *; 20

A: The problem is converted to canonical form by adding slack, surplus and artificial variable.   Here…

Q: A = {y EZ:2 < y ≤ 9 and y is odd}. B = {1, 4, 6} C = {yEZ: y ≤ 10 and y is even}. D = {y EZ: y ≤ 7…

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Q: ose 7. Suppose A, B and C are sets. If BC, then AXB≤AXC. 8. If A,B and C are sets, then…

A: We have to prove i.e. closure of intersection of two sets is equal to intersection of closure of two…

Q: Match the indicated sets below with the letters labeling their equivalent sets if A = {x €R: x >…

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Q: 2. 1) Lot A = P(Ø), B = P([a,b}), and C = P({a,c}) where P(S) is the power %3D %3D set of S. Find…

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Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

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Q: T T T T F 18. Let A and B be sets then A + B if, and only if A ¢ B and B ¢ A. For sets A, B, and C,…

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Q: 5. If p and q are positive integers, then {pn:neN} n {qn:n €N} ‡ Ø. 6. Suppose A, B and C are sets.…

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Q: (b) JAN BỊ = |A N C| (c) ANCCANB (d) C-BCĀ (e) BUC = {3, 5} (f) 2 E AUC (g) (2, 3} e C Solution v

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