The set (0, 1, 2, 3, 4, 5, ...} is called the set of numbers.

Q: Which of the following are difference sets?

A: Introduction: A (v, k, λ) difference set is a k-element subset D of V = Z (mod v) in which any…

Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 7, 8, 9 } and Set B - { 0, 3, 5, 6,…

A: This can be done as follows:Given:

Q: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: Translate the set {a, b, c, d, ..., z} to set builder notation form.

A: Given   set {a,b,c,d,...…z}

Q: Provide 2 examples of sets with |A| = 4, |B| = 3, |AUB| = 6

A: Number of elements in set A is 4, in set B is 3 and in set A U B is 6.

Q: If there were only 3 types of music in the world: pop, rock and rap. Let set A equals all the people…

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

A: Given : F = 4, 5, 6, 7, 8

Q: The set of elements common to both set A and set B is called ----------------- the of sets A and B,…

A: Sets are basically a collection of well defined and distinct objects. These objects can be anything,…

Q: Find the dimension of the set S= {(2, 4), (4, 8)}?

A: The dimension of the set S can be find out by finding the linearly independent vectors in it.…

Q: How may elements are in the set [-2, 2] \N?

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Q: Write the set A = {1, 4, 9, 16, 25, . . . }in set-builder form.

A: Given:

Q: The set of elements in (-, 9) or (-, 12) or in both sets is .

A: The sets are (-∞,9) , (-∞,12)

Q: Find the number of subsets of the given set.

A: Set A = {1,2,3,4,5,6,7,8,9}              The number of elements , n = 9

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

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Q: given a = {3, 5, 7, 9, 11} and b = {2, 3, 4, 5, 6, 7}, find the intersection of set a and set b.

A: Given:-   a =  3 , 5 , 7 , 9 , 11   b =  2 , 3 , 4 , 5 , 6 ,7

Q: Given A = {2, 3, 4 , 5} and B = {4 , 16 , 23}, a ∈ A, b ∈ B, find the set of ordered pairs such that…

A: Here given that                           A={2, 3, 4, 5}                            B={4, 16, 23} We…

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: Find a one-to-one correspondence between the following pairs of sets. a A = {a, b, c} and B= {1, 2,…

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Q: the difference between sets, subsets and proper subsets.

A: Set: A set is a group of collections of numbers or objects considered as an object in its own right.…

Q: Given R={(a, d), (a, c), (b, d), (c, a), (d, b), (e, d)} on the set {a,b,c,d,e}. Find R-1 А. {(а,…

A: We have given a relation R and we have to find R-1 .

Q: Put the following into the set builder notation:  {2, 4, 6, 8, 10} {2, 3, 5, 7, 11}  {1, 4, 9, 16,…

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Q: Which list of numbers is ordered from greatest to least? O 3. 49 x 10', 2.73 x 10°, 4. 27 x 10', 1.…

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Q: Explain the difference between set A and set B

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Q: List all subsets of the given set. (α, β, Γ, Δ}

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Q: How many elements are in the set {2,2,2,2}

A: We have to find number of elements

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: U is the set of TV owners and W is the set of people who watch The Walking Dead, describe W' in…

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Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: What is the set N of all natural numbers?

A: Set of all integers: ℤ={.......,-3,-2,-1,0,1,2,3.......} Set of all positive integers…

Q: What is the cardinal number for the set B = {four} ??

A: Cardinal number of a set is defined by the number of elements in the Set.

Q: How many subsets are there of the set N = {6, 49}?

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Q: Decide whether the statement is true or false. Two set A and B are equal if have the same number of…

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Q: Consider the set:List all numbers from the set that are a. natural numbers,b. whole numbers, c.…

A: according to given data natural numbers=81whole numbers=0,81integers=-17, 0, 81rational numbers=-17,…

Q: A set of 12 numbers has an arithmetic mean of 20. if the numbers 10 and 14 are removed from the set,…

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Q: Which of the following sets of ordered pairs represen A. { (0,2), (1, 3), (2, 4), (3, 5), (4, 6) }…

A: Function: A function is a relation for which each value from the set the first component of the…

Q: What is the intersection of (a) the sets {0, 1, 3} and {1, 2, 3}; (b) the set of girls in this class…

A: Given information Part (A):- The intersection of sets {0, 1, 3} and {1, 2, 3}. Take A=0, 1, 3,…

Q: Find the cardinal number for the set. B= {x | xEN and 6<x<8) n(B)%= !!

A: To find the cardinal number of the given set B .

Q: List all numbers from the set that are natural numbers. {-6, –,0, 0.14, V15 , 9.8, V36} 6. {0, v36}…

A: Natural number set is ,  N = { 1 , 2 , 3 , 4 , 5 , 6 ,  ........}

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

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Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

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Q: State the cardinality of -1,-2, 3,6,7, 12

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Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

Q: Consider the sets A = {1,2,3,4,5}, B = {3,4,5,7} and C = {2,4,6,8}. Then the set (AnC)OB is…

A: The sets are given as, A=1,2,3,4,5B=3,4,5,7C=2,4,6,8 Consider the definition of intersection of…

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Find the number of subsets of the set. {10,11, 12}

A: Given: To calculate the number of subsets of the set values {10, 11, 12}

Q: Find the cardinal number for the given set. A= {1, 3, 5, 7, 15, 14}

A: