3. If A and B are two sets such that A C.B, then what is AUB? 4. Find the union, intersection and the difference (A - B) of the follow pairs of sets. (a) A = The set of all letters of the word FEAST B = The set of all letters of the word TASTE (b) A = (x:xEW, 0 < x≤ 7} B = (x:xEW, 4 < x < 9} (c) A = x | xEN, x is a factor of 12} B=x|xEN, x is a multiple of 2, x < 12} (d) A = {x :x€ I, -2 < x < 2} B=x:xel, -1 < x < 4} (e) A = (a, 1, m, n, p) B = (q, r, 1, a, s, n}

Q: b= {ZEC: 12-1+² | <2} Describe the set. A. The set D is open and connected. B. The set D is closed…

A:

Q: 15. Let C = {(2n + 1)³: n E R } and D = {2n + 1:n € R}. What is the relation between these two sets?…

A: Let us consider the set A and B then, If all the elements in the set A is in B then A is said to be…

Q: 2. Let A = {2,4,6,8}. Suppose B is a set with |B| = 5. (a) What are the smallest and largest…

A: 2)  We have given that ,  A = 2 , 4 , 6 , 8 Here , A = 4   ,  B = 5 (a) We need to find largest and…

Q: The mean of the set {27,15,15,23,x} is 40. What is the mean of the set {1.5x,3x,11,8,12}?

A: Given , The mean of the set { 27 , 15 , 15 , 23 , x  } is 40We have to find the mean of the set…

Q: 5. Consider the sets A = 0 and B = {0} and C= {1,0}. Find each of the following sets, if it is…

A: The given sets are                       A=ϕ and B=ϕ and C=1,ϕ. Here the set A is the empty set,…

Q: 33. Write (2, 4, 6, 8) in set-builder notation.

A:

Q: I. Identify the type of set (finite, infinite, or empty) as described by the following: 1. A =…

A:

Q: Suppose set A={1,2,3,...,50} is divided into exactly two disjoint, nonempty sets. For example, one…

A: My approach is the I break into 2 disjoint part and take cardinality(number of element) of every…

Q: work out the problems refering to the sets:

A: Since there is no problem then I will just describe the sets base on the Universal set.(Note: this…

Q: 2. Determine whether the statement(s) below is/are true or false. Modify each false statement to…

A:

Q: Use the given sets to find |X n Y. U = х, у, Y = {suav.e}

A:

Q: 14. F= {xx E N and x < 100}

A: As per the Bartleby guidelines, answered only 14 question as the next question is not the sub part…

Q: Which of the following is NOT a subset of 2 {a,b} x {a,b} ☐ ({a}, a) (a, {a}) ({a,b}, {a,b}) ☐ ({a},…

A: In set theory, a subset relationship denotes that every element of one set is also an element of…

Q: . The sets A, B, C are given by A = {0, 1,2}, B = {a,b) and C= {b,c,d). (a) Find A x B. (b) Find (A…

A: A=0,1,2B=a,bC=b,c,d Remember : A×B=a,b|a∈A, b∈B

Q: Which is an example of disjoint sets?   A={multiples of two} and B = {multiples of three}   E =…

A: A={multiples of two} and B = {multiples of three} AnB = {6,12,18,...} = non-empty set E =…

Q: A. Translate the following set to words: 1. {x|x €N and x < 7} 2. {x|x € Q and x < 5} B. Use…

A:

Q: 2. Let A = notation. {a,b,c}, B = {1,2}, C = {X, Y}. Write out the indicated set in list (A x B) x C

A: For given A, B, C set we have to find the value of (A x B) x C.

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

A:

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: 12. List all possible subsets of the set {2,, d}

A: Given set : { 2 , π , d }

Q: 3. True or False. Determine whether the given pairs of sets are equal. a. A = {2n + 1|n E W} ; B =…

A:

Q: Express the set using the roster method. {x|XEN and 30≤x_80} Choose the correct answer below. O A.…

A: Given the set in set builder form . We need to write this set in set builder form. Now,  Set is…

Q: (4) Let X and Y be sets. Select which one of the following statements is equivalent to the statement…

A: It is given that PX∪Y×Y⊆PX×X∪Y where X and Y are sets. Here P(X) denotes the power set of X. We know…

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: C. Translate the set builder notation into words 6. {X€ Z|-6 s x s 10} 7. {X€N|2x 2 5}

A: We have to translate the given set builder notation in to words.

Q: use a Venn diagram to determine which relationship, C, =, or 2, is true for the pair of sets. AUB,…

A:

Q: 2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there…

A:

Q: Let the domain be the set of all people. Let: P(x,y): x knows y. Which of the following is the…

A:

Q: Indiana's favourite set is A= {r² +1: z€ Z, –35a51}, and Marcus's favourite set is just B=…

A: Consider: A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Substiute x=-3, -2, -1 , 0 ,1 into x2+1 and…

Q: True or False? 7. If A and B are two sets such that A ∪ B = A ∪ C then B = C.

A: Given: If A and B are two sets such that A ∪ B = A ∪ C then B = C.  We check that it is true or…

Q: 5. X = {a, b, c}. Give each of the following sets in roster notation. (a) {A: A E P(X) and |A| > 2}…

A:

Q: Let A, B, C be three sets. Find sets A, B&C St. Anc≤ BUC and AUCE BUC but A‡B

A:

Q: 1. Find n(AUB) for each pair of sets described. a) n(A)-10, n(B)-8, a(4B)-4 b) n(A)-7, n(B)-12. ACB

A: Given that

Q: Identify the type of set (finite, infinite, or empty) as described by the following: 1. A = {stars…

A: Finite set:-Finite sets are sets having a finite or countable number of elementsInfinite set:-An…

Q: prove that B = C.

A: Representations  1) L ∩ M -&gt; Intersection of L and M is the common part that is present in both L…