For each part, write the set in the form [x | P(x)] (property that describes the elements of the set): (a) {2,4,6,8,10} (b) {a,e,i,o,u} (c) {1,8,27,64,125} (d) {-2,-1,0,1,2}

Q: Consider the set: {-17, - 3, 0,0.75, V2, 7, V81}. List all numbers from the set that are a. natural…

A: Given set is: S=-17,-913,0,0.75,2,π,81 Therefore the set S is equivalent to:…

Q: Suppose that A = and B = for some real numbers x and y. Find y 1 9 y all ordered pairs (r, y) such…

A: Given: A=x0y1B=xx9yAB=BA

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

A:

Q: Use graphs to find the set. (-5,0) N[-4,3]

A: Given: The given set is (-5,0)∩[-4,3]

Q: Please help me understand set theory.

A: The set theory is a mathematical theory which includes well-determined collections of…

Q: Write the set in set-builder notation. {3, 4, 5, 6, 7} {x | x =

A:

Q: 2 > ]x – 4| X-1

A: Given,          2x-1≥x-4

Q: What is the natural domain?

A:

Q: Prove using the properties of set operations: a. If A and B are sets then [(A - B)c n A] C B

A: The given expression is A-BC∩A⊂B, where A and B are sets.

Q: Describe the set as a union of finite or infinite intervals {x : Ix - 4 I > 2}

A: x:x-4>2

Q: Write the interval in set notation. [2, 6) {x | 2 < x ≤ 6} {x | 2 ≤ x < 6}   {x | 2 ≤ x ≤ 6} {x | 2…

A: Write the interval in set notation. [2, 6) {x | 2 &lt; x ≤ 6} {x | 2 ≤ x &lt; 6}   {x | 2 ≤ x ≤ 6}…

Q: Express the set using the roster method. {x | xEN and 4<xs7} Choose the correct answer below. O A.…

A:

Q: Use set-builder notation to write the set: Positive integers less than 8

A: Set builder form is of the type {type of element | rule for elements}

Q: Give an example of numbers x, y such that |x| + |y| = x − y.

A: Given that: give an example of numbers x, y such that |x| + |y| = x − y.

Q: For the set {a,b,c,d}, list  a) all the arrangements of 2 objects.  b) all the subsets of 2…

A: Given problem Given that   For the set { a, b, c, d }, list  a) all the arrangements of 2 objects…

Q: What is the domain of the relation x(x-3) ? {(X,y): y = (x+4)(x-7)). ) {x: x = R, x -4, x > 7} ) {x:…

A: Domain of function f(x) is the set of value of x for which f(x) is defined.

Q: Represent the set using listing method. {IE N, such that r + 8x = 0} {0,-8} O {0} O None of these…

A:

Q: The boundary of a set is equal to the boundary of the complement) True or false

A: (The boundary of a set is equal to the boundary of the complement) True or false

Q: Let U = (−∞,∞), A = [−1, 6], B = [−6, 2). In interval notation, determine A ∩ B. And in interval…

A:

Q: Consider the relation R = {(a, b), (a, c), (c, c), (b, b), (c, b), (b, c)}. Is R reflexive,…

A:

Q: Describe the set as a union of finite or infinite intervals { X : I 2x + 4 I &gt; 3}

A: Given set is x:2x+4&gt;3

Q: Express each interval in set-builder notation and graph: [-2, 5) b. [1,3.5] c. (-*, -1). а.

A: Given we have to express each interval in set builder form

Q: Describe the intersection and union of sets. How do they differ?

A: Definition : (1) Intersection of the sets : The intersection contains the elements that the two sets…

Q: Choose the domain of the relation: (-1, 1, 3,4) All real numbers {-4, -1. 1, 3, 4) {-4, 1, 3)

A: d is correct Domain {-4,1,3}

Q: Q. Determine whether the given set V is closed under the operations addition and multiplication…

A:

Q: Essentials of DISCRETE MATHEMATICS   Q: Shot that the relation “congruency modulo n” is an…

A: We have to show that the relation “congruency modulo n” is an equivalence relation.

Q: Give an example of a set of numbers that is: a. Closed under both addition and multiplication. b.…

A: a. Set of real numbers b. Set of odd natural  numbers c. Set of irrational numbers

Q: Simplify the set expression (X∩Y’) ∪ (X∩Y)~X’ using the Laws on Sets.

A: To prove:X∩Y'∪X∩Y~X The laws to be used are: A∪A∩B=A,A∩A∪B=A A∪B∩C=A∪B∩A∪C A∪A'=S A∩S=A

Q: let A be a set with n elements and B a set with m elements. How many different functions are there…

A: Concept introduction: Relation: A relation between two sets is a collection of ordered pairs…

Q: Give the domain of y=√2-x using set builder notation

A: We know For a real valued function y=f(x) if domain of f(x) is D then domain of y is {x∈D: f(x)≥0}

Q: Give an example that achieves the following two infinite sets A and B with A C B and A - B.

A:

Q: How different can two sets of R ^ 2 that have the same boundary be?

A:

Q: sets X and Y

A: Take the two sets X and Y . The difference of set X and Y is set of whole elements in set X but not…

Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Set builder notation is represented as Interval notation, and it is a way to define a set of numbers…

Q: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x | 3 − x =…

A: x| 3-x=6 and x is an integer3-x=6 ⇒3-6=x⇒x=-3

Q: Let 5- {-3, -1, 0,1 V5,4,3). Determine which elements of S satisfy the inequality. (Enter your…

A:

Q: What is the domain of the relation (8, 2), (6, 4), (4, 2), (2, 4)? O 2,4 O 2, 4, 6, 8 O 6, 8 O 2, 4,…

A: Concept: Domain is the set of all first elements of ordered pairs (x-coordinates).

Q: Describe the set as a union of finite or infinite intervals.  {x : |x 2 -1 | &gt; 2}

A: can be written as x^2-1&gt;2 or x^2-1&lt;-2

Q: The domain is {A, B, C, D, E, F, G, H}. The relation is the set: {(C, B), (D, C), (C, F), (G, H),…

A: Given domain is A, B, C, D, E, F, G, H   The relation is the set C, B, D, C, C, F, G, H, F, B, A, B,…

Q: Give an example of a set of numbers that is: a.Closed under both addition and multiplication.…

A: (a) Set X is closed under addition if any two elements x, y in X such that x + y in X  Set X is…

Q: Exi meaning collecting of x set

A: The objective is to state whether the given statement is true.

Q: 7ー3(xナ4)> (- x) € アー(xナ) > ct3[a-)+X 6+ 3

A: The set notation of inequality in a single variable is obtained by isolating the variable on one…

Q: xL430 X X

A: x | x≤4  ∩  x | x&gt;-1

Q: Use graphs to find the set : (-2, 1] ∩ [-1, 3)

A: Given: (-2,1]∩[-1,3)

Q: b) Write out, using set notation, the equivalence class for the point (0, 2)

A:

Q: which method is best to describe an infinite set?

A: The solution is given below

Q: Write the set X = {... -1, -0.9, -4/5,-0.7, -3/5, -1/2, -2/5, -0.3, -1/5, -0.1 0,0.1, 1/5, ...} in…

A:

Q: Write the set in set-builder notation (in terms of x) and in interval notation. Part I out of 2…

A: A set builder notation describes or defines the elements of a set instead of listing the elements.…

Q: The set of all triples of real numbers (x, y, z) with the operations x, y,2) + (x', y',z') = (x +…

A: Given : set of all triples of real numbers x, y, z with the operations   x, y, z+x', y', z'=x+x',…

Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

A: