Let p: A is a proper subset of B. q: A and B are equal. Write: "A is a proper subset of B if and only if A and B are not equal" symbolically.

Q: U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all…

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Q: Let A = {1, 3, 5, 7, 9},  B = {3, 6, 9}, and  C = {2, 4, 6, 8}. (g) B ∪ C:  (h) B ∩ C

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Q: S Tennis Soccer 11 5 9 30

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}. What is |A × C|?

A: Given that A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and C = {a, b, c, d}.  We have to find |A × C|.

Q: Select the set that is equivalent to (Cn B) UA. (Cn B)UA (CUB) UA (CnB) nA (CUB) NA

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Q: Let V = { a, e, i, o, u } andB = { a, i, k, u}. Find V – B and B – V

A: V-B= elements those lie in V but not in B  Hence, V-B={e,o}

Q: Let A = {June, John, James, Jared, Jeffrey, Jelly}, B = {John, Jelly, Jared}, and C= {Irina, Irena,…

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Q: If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M).…

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Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {1, 3, 5, 7, 9), B = {2, 4, 6, 8, 10), and C = {1, 2,…

A: If U be the universal set and A, B, C be subset of U Then  The Union (or join) of the subsets A and…

Q: Determine whether A=​B, A ⊆ ​B, B ⊆ ​A, A ⊂ ​B, B ⊂ ​A, or if none of these applies.…

A: Subsets are a part of one of the mathematical concepts called Sets.  In set theory, a subset is…

Q: Let A, B, C, and D be sets.

A: First, (AxC)U(BXD) ⸦(AUC) x(BUD)Take left hand side first , let  (x,y) ∈(AxC) U(BxD)=> (x,y)…

Q: Let U denote the set of all senators in Congress and let D  =  {x U | x is a Democrat} R  =  {x U |…

A: a). Given: U=set of all senators D  =  {x ∈U | x is a Democrat} R  =  {x ∈U | x is a…

Q: Let A be the set of students in your math class, and B is the set of students at Indiana State…

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Q: Let U be the set of restaurants in Los Angeles, B be the set of barbecue restaurants in Los Angeles,…

A: Given Information -  U is the set of all restaurants in Los Angeles B is the set of barbecue…

Q: Let A be a set with 5 elements and B be a set with 8 elements.  How many elements are in A x B?

A: Given that A be a set with 5 elements and B be a set with 8 elements.  Here we have to find out how…

Q: Let A = {July, John, Jill, Jared, Jeniffer, Jelly), B = (John, Jelly, Jared), and C = {Irina, Irena,…

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Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

A: We have to count the number of 3-combinations with repetition allowed, we can use the concept of…

Q: Given A={-4,0,11}, which elements of set are less than -1?

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Q: Let R = {(a, b), (b, a), (a, c), (c, d), (d, a)} a. Is (a, c) E R³? b. Is (a, a) E R²? c. Is (c, c)…

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Q: If a set A has 6 elements, then the total number of possible relations on A is 262 260 62 26

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Q: Let A = {1, 3, 5, 7, 9},  B = {3, 6, 9}, and  C = {2, 4, 6, 8}. (d) A ∩ C:  (e) A − B:  (f) B − A

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Q: Let U= {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; B = {q, s, y, z} and C = {v, w, x, y,…

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Q: Choose an n and m that satisfies the following statement

A: We need an example such that  n = m! Take n = 24 and m = 4  Then m! = 4! = 24 Hence , n = m!

Q: Let A = {-9, -7, -6, -4, -3, 1, 3, 4, 8, 10} and B = {-7, -6, -4, 1, 4, 8, 10}. How many sets of C…

A: Given that C has a property thatfrom the second condition we can conclude that all the elements of B…