Let the Universal Set, S, have 78 elements. A and Bare subsets of S. Set A contains 44 elements and Set B contains 50 elements. If Sets A and B have 42 elements in common, how many elements are in B but not in A?

Q: Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY PATRIOTS"}…

A: Given:- Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY…

Q: Let ? = {1, 2} and ? = {1, 2, 3}. List all the elements in the set (? × ?) ∩ (? × ?)

A: A = {1,2} and, B = {1,2,3} So, A×B = {(1,1,), (1,2), (1,3), (2,1), (2,2), (2,3)} &, B×A =…

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Given that universal Set  S have 146 elements. Set A contains 84 elements. Set B contains 25…

Q: Let the Universal Set, S, have 92 elements. A and B are subsets of S. Set A contains 12 elements and…

A:

Q: Each Venn diagram has sets A, B, and the universal set U. (a) Shade A'U B. (b) Shade A N B'. -U- -U-…

A: Answer is given in next step.

Q: Let the Universal Set, S, have 176 elements. A and B are subsets of S. Set A contains 56 elements…

A:

Q: If p and q are subsets of the universal set Z, draw a Venn diagram and shade the region representing…

A: Given that, If p and q are subsets of the universal set Z, draw a Venn diagram and shade the region…

Q: Draw a Venn diagram to show the set  An(B U C')

A: Furst find B U C' then An(B U C').

Q: Given a universal set U and sets A, B CU, prove that A C Bº if and only if AnB = Ø. Prove that (AN…

A:

Q: Let C and D be subsets of a universal set U, then (C ∪ D) ⊆ (C ∩ D).

A: Given C and D are two subsets of universal set U.

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where B =…

A:

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Provided information is , n(S)=146 n(A)=84 n(B)=25 n(A or B)=n(A U B)=103 Definition of B∩ Ac: It…

Q: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

Q: Let A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 150, n(B) = 90, and n(A ∩…

A:

Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A: n(A U B) means number of elements in set (A U B).  or Formula can also be used to get n(A U B): n(A…

Q: Given some set A and the universal set U we would say that A u U would result in which of the…

A: Set: A set is a well defined collection of objects. A universal set is a set which contains elements…

Q: If a finite set A equals the union of k subsets A1, A2,..., Ak, then the number of elements in A…

A:

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

A:

Q: Show that for all sets A, B, and C, if A C BUC, then ANC + Ø or A C B.

A: In order to prove this we need to use the property that if X⊂(Y∪Z) ⇔X⊂Y or X⊂Z

Q: |(A ∪ B)\(C ∪ D)|

A: We have to give a formula for |(A ∪ B)\(C ∪ D)| in terms of the sizes of the four sets A, B, C, D…

Q: Each Venn diagram has sets A, B, and the universal set U. (a) Shade (A U B)'. (b) Shade A'UB'. -U-…

A: We have to find out given shaded areà...

Q: Here is a Venn diagram showing the sets A, B, and C, as well as the universal set U. B. h, p Find…

A:

Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

Q: Let the Universal Set, S, have 135 elements. A and B are subsets of S. Set A contains 93 elements…

A:

Q: Let A be a finit set and let |p(A)|=n. Let B = A U {x} for some x∉B, How many subsets does B have…

A: Let A be a finite set with m elements Then number of elements in p(A) has 2melements Given p(A) =…

Q: If S and T are two sets such that S has 21 elements, T has 32 elements, and   S ∩ T has 11 elements,…

A:

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where…

A:

Q: Let A, B, and C be any sets. Mark the statement that is false O A U (BUC) (AUB) UC OACUCC (An C)c OB…

A:

Q: Here is a Venn Diagram with sets B, D, and the universal set U. RODI

A: Given that  Venn diagram of with sets B,D and the universal set U.

Q: Use the Venn diagram pictured with A representing the people in an arts class and B representing the…

A: Solve the given

Q: Let the Universal Set, S, have 139 elements. A and B are subsets of S. Set A contains 69 elements…

A:

Q: Let A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 115, n(B) = 70, and n(A ∩…

A:

Q: Let the universal set be the 26 letters in the English alphabet, and let A = {a, b, c, d}, B={c, d,…

A:

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

A:

Q: Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contains 95 element and…

A: Given Information: Universal set S has 190 elements. Set A contains 95 elements. Set B contains 78…

Q: Let the Universal Set, S, have 158 elements. A and B are subsets of S. Set A contains 65 elements…

A:

Q: Refer to the Venn diagram below. How many elements are in the set AUB? nAUB) -

A: Given,

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (BOC)' UA on the Venn diagram. U…

A:

Q: Each Venn diagram has sets A, B, and the universal set U. (a) Shade A'UB'. (b) Shade (A U B)'. -U-…

A:

Q: Given a set has m members, where m=15, how many proper subsets are there?

A:

Q: The sets A and B have 6 and 9 elements respectively, such that A is proper subset B , then the total…

A: Given that set A and set B have 6 and 9 respectively. Now that A is a proper subset of B which means…

Q: Let the Universal Set, S, have 101 elements. A and B are subsets of S. Set A contains 59 elements…

A: It is given that,  set A contain 59 elements, n(A) =59 Set B contain 38 elements, n(B) =38 Set A and…

Q: Let the Universal Set, $, have 92 elements. A and B are subsets of S. Set A contains 27 elements and…

A: Given information nS=92 nA=27 nB=57 nA∩B=24 We have to find the number of elements are in neither in…

Q: 2. Draw a Venn diagram for the set AU(BnC).

A: We first draw U, A, B, C

Q: Let A and B be subsets of a universal set U, show that ACBif and only if BCA.

A:

Q: Let the Universal Set, S, have 142 elements. A and B are subsets of S. Set A contains 61 elements…

A: Universal set, S contains 142 elements.Set A contains 61 elementsSet B contains 92 elementsSets A…

Q: b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing…

A:

Q: Consider the following sets, with U = N; that is, the universal set is the set of natural numbers…

A:

Q: Show by membership that for all sets A, B and C: A - (AnB) CA – B

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.