15. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};C={x:x^2-5x+6=0}. Which set is equal to (BA)^c? *

Q: Show that the set S = {(1, 2, 3), (0, 1, 2), (−2, 0, 1)} spans R3.

A:

Q: Consider the following sets: U = {2, 3, 4, 6, 8, 9, 10, 12, 14, %3D 15} |А%3D {3, 6, 9, 12, 15} В…

A:

Q: Select the set that corresponds to the relation given in the arrow diagram below: A 1 C . 3. O {{A,…

A:

Q: How many subsets does the set  F = {4, 5, 6, 7, 8}  have?

A: Given : F = 4, 5, 6, 7, 8

Q: Indicate whether the following sets are equal. A={x, j, a, w}, D={x, a, b, y}

A: The given two sets are, A=x,j,a,w and D=x,a,b,y By definition, The two sets A and B are equal sets…

Q: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: Use the following sets to define each set below. A = (4, 7, 10, 14, 17, 20) B = (1, 4, 9, 14, 20) C…

A: Find intersection of sets

Q: 3. List all the entries of the following sets: a) A = {a la € Z+ and -11 < a ≤ 11} b) B = {b | b =…

A:

Q: Express (4, 10) as a set {x : |x – al < c} for suitable a and c.

A:

Q: 2. Consider the collections C = {penny, nickel, dime, quarter} D = {penny, nickel, nickel, dime,…

A: (a) The number of elements in collection C is 4 and the number of elements in the collection D are…

Q: In a Venn diagram, the overlap of two circles represents the difference between the numbers of…

A: Venn diagram

Q: Show that each pair of sets is equivalent by using a one to one correspondence. {1,2,3,4,. . . .} is…

A:

Q: 11 - Which of the following statement regarding sets is false I. AnA=A AUA = A A- (Bn C) = (A – B) U…

A: Union and intersection apply on same set gives the set itself

Q: Let १ १G,१ी, (३,5) , (3 ), (4,2 ), ( 3 4) 5 %3D and 4. १,०) (2) (৬,), (,০), (3,) 3 %3D which of the…

A: The solution of the problem is given in the next step.

Q: Construct a Venn diagram U={1, 2, 3, 4, 5, 6, 7, 8, 9} X= {1, 2, 7, 8} Y = {1, 4, 6, 7} Z= {2,5, 6,…

A: Given :U={1,2,3,4,5,6,7,8,9}X={1,2,7,8}Y={1,4,6,7}Z={2,5,6,7}

Q: Suppose that A = {3, 7,1 6}, B = {3, 16}, C = {7, 16}, and D = {7 ,8, 1 6}. Determine which of…

A: Subset :  A set P is a subset of a set Q if all elements of P are also elements of Q , Q  is then a…

Q: Suppose we want to choose 6 objects, without replacement, from 10 distinct objects. (a) How many…

A: We can find answer to both the question as below

Q: The results of the survey of 200 students show that 99 people like Math, 78 people like Science, and…

A:

Q: Suppose that A = {2,4,6}, B={2,6}, C = {6,8}, and D = {4,6,8}. Determine which of these sets are…

A: given sets are A =2,4,6 B = {2,6} C = {6,8} D = {4,6,8}

Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; where n is total number of distinct…

A:

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Explain the difference between set A and set B

A:

Q: (10) Show that the set A = {a € Q : a² < 2 or a < 0} is a %3D cut.

A:

Q: Express (4, 10) as a set {x : |x − a| &lt; c} for suitable a and c

A: Write the given interval in inequality form as follows: 4&lt;x&lt;10

Q: Use the listing method to express the set S = ((1,3] x {2,4}) n z².

A: Given, S=(1,3]×{2,4}∩ℤ2 We have to express it in the Listing method, As we know, ℤ2=(a,b) where…

Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: Describe the following sets in words and/or pictures: 1. {(x,y,z): y = x2 } 2. {(x,y,z): y > z }…

A: Here, to describe the given sets in words and/or picture.

Q: How many subsets does the set  F = {3, 4, 5, 6, 7} have?

A: No. of subsets in a set: The number of subsets in a set containing n elements is given by 2n. No. of…

Q: Prove T = { ... , −56, −42, −28, −14, 0, 14, 28, 42, ... } is a countable set

A:

Q: ) Suppose X = {1,2, 3} and Y = {5,6). The number of elements of the set P(X × Y) = %3D

A: Number of Elements in Power Set P(A) of set A with n elements is 2n

Q: Let A = {a,b,c,d} be the set containing the four elements a, b, c and d. Let S = {X |X is a subset…

A: Sets

Q: If A = {7, 8} and B = {2, 4, 6}, what is A x B. * O {(2, 7), (4, 7), (6, 7), (2, 8), (4, 8), (6, 8)}…

A: This question is related to Set theory, We will solve it using given information.

Q: 1. Which of the following sets are equal? А 3D (а, b, с, d} C = {d, b, a, c} В 3 [d, е, а, с) D =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 11. consider the following sets: U = {-5,-4, -3, -2,-1,0,1,2,3,4,5}, A = {x: x²= 25}, B =…

A: Introduction: If the components of a set can be arranged in perfect agreement with the set of…

Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

A:

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x &lt; 6} in roster form. Note: N=set of natural numbers

Q: Which set has a domain of (2, 3) and a range of (5, 8}? O (8, 3). (8, 2). (5, 2)} O (5. 8). (2, 3).…

A: We require to find  That domain include {2,3} Codomain (range) include { 5,8}

Q: 2. In a survey of 60 people it is found that 25 like to drink milk, 26 coffee and 26 tea. Also 9…

A:

Q: If A and B are two sets, and A x B consists of 6 elements: If three elements of A x B are (2, 5),…

A: Given A cross B = (2,5),(3,7),(4,7)

Q: Consider sets A={1,3,5} and B = {2,4,6}. Find A U B

A: The given sets are A={1,3,5} and B = {2,4,6}. The union of any two sets is the set of all the…

Q: If S = {0,1,2,3,4,5, 6, 7,8, 9, 10,11,12} and A = {0,2,4,6,8,10,12}, B = {1,3,5,7,9,11}, C = {2,3…

A: Given information:…

Q: 8. Given the set B={2,3,4} such that (a,b) are the two numbers having the same parity therefore R2…

A:

Q: How many relations are there on the set {a, b, c, d}

A: Introduction: The relation is a subset of the Cartesian product of two sets. Since it is a subset of…

Q: answer as an ordered list enclosed in curly brackets. = {(20,4), (23, 60), (25, 70), (30, 31), (38,…

A: Topic:- function       The domain and range are defined for a relation and they are the sets of all…

Q: b) The number of elements of the set A = {{{Ø}}, {{Ø}} n {Ø}, {Ø} U {Ø, {Ø}}} equals

A:

Q: Determine how many one-to-one correspondences are possible between two sets, {p, s, z, w, v} and {1,…

A:

Q: 8. For the sets, A={9,10,11}, B= {10,11,12,13}, choose the correct way to draw the Venn Diagram of…

A:

Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

Q: 12. How many possible sets of four marbles include no more than 1 purple marble?

A: