Given the sets X = {x: x is an odd number less than 17}and Y= {y:y is a prime number less or equal to 17}.Then |XnY is and |X- Y| is

Q: count the number N of all sets A := {1, x2, X3, X4} of non-negative integers satisfying Xi + x2 +…

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Q: Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x ∈ Z:…

A: Given: The sets are: A=-3,1,6,7,10B=-10,-5,1,4,6C=x∈Z: x is oddD=x∈Z: x is positive To find: The set…

Q: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Q14D. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C = {x…

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Q: lowest terms (that is, a and b have highest common factor 1), then b/2a is in S. (iii) If a/b and…

A: First, let's prove that all elements in S lie in the interval [1/2, 1].1. By rule (i), 1/1 is in S.…

Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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Q: Suppose you want to refute the statement:  For all natural numbers a, b, and c, if a | b and a | c…

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Q: 2. For a positive real number b, the value V-b =

A: The given expression is -b

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: A number is very close to zero. Another number is also very close to zero. The quotient, , therefore…

A: Given a number is very close to zero. Another number is also very close to zero. Let α>0 is very…

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: Let X be a set of integers. How many integers are needed to guarantee that there is a difference…

A: We shall be using the Pigeonhole principle

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Use the roster method to describe the elements of the following sets. ([-4,6) n (-3, 11)) nZ =…

A: The given sets,The objective is to describe the elements in the given set by roster form.

Q: Let a and b be integers, and let d be a positive common multiple of a and b. Show that the following…

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Q: Identify the sets: The integers greater than -5 and less than 1. Select one: a. O b. O C. O d. {-5,…

A: Given query is to find indicated set.

Q: Let Q be the set of rational numbers and R be the set of real numbers, A = {x e R: 5<x< 10}, B = {x…

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Q: Choose the correct elements in the set for the following: {y | y is an integer and y > -5}

A: Let A ={y | y is an integer and y &gt; -5}. By the definition of the set A it is clear that every…

Q: Prove that the number V7 lies between 1 and 2.

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Q: If A and B be measurable sets, ACn BC is measurable.

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: The sets T, F and W contain natural numbers and are defined as follows T= {multiples of 3 which are…

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