2. Use set-builder notation to give a description of each of the following sets. Use mathematical symbols wherever possible. (a) {1, 2, 3, 4, 5} (b) (a, e, i, o, u} (c) {0, 5, 10, ...} (d) The half-open interval [-3,5) (e) {..., -2, -, 0, π, 2, ... } 1 1 1 1, 2'3'4'5 (1) {1,

Q: Which of the following sets is a linearly independent set? a. (1,2),(5,10) b. (1,2),(5,8) c.…

A: Linearly independent and dependent set

Q: On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a;…

A: The set is A=a, b, c, d, e, f, g, h and the relation is R=a; b, a; c, a; d, a; e, b; f, c; f, d; g,…

Q: Which of the following sets spans Rº 3 None O {(1,2,3),(0,0,0)(-2,1,0)} {(2, – 1,2),(4,1,3),(2,2,1)}…

A: vectors span R3 means that some combination of the vectors can take up all of the space in R3.

Q: Given the following relation, { ( A, A ), ( A, B ), ( A, E ), ( B, B ), ( B, E ), ( C, A ), ( C, B…

A: Given the following relation, {(A, A), (A, B), (A, E), (B, B), (B, E), (C, A), (C, B), (C, C), (C,…

Q: Which of the following sets spans R? O {(3,0,-2)} O (3,0,-2),(0,0,0)} O ((3,0,-2).(5,1,0).(0,-1,1)}…

A:

Q: Let set P = {a, b, (b), ({{a), 3}}. Which one of the following is NOT a valid relation on P? Select…

A: R is said to be relation over P iff R is a subset of P×P.

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: Q1. (a) Let R be the universal set and A = [-7,3], B = (0,8) C = {x:x≤ 10, x € R}. Find of the…

A:

Q: Given the function f= {(n,n²)such thatn< 3,n€N} as a set of ordered pairs in set-builder notation,…

A:

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A:

Q: 4. For the four pairs of sets below, determine whether or not they are equipollent. i.) {2, 5, 10}…

A: We have to check the given sets are equipollent or not.

Q: R relation for A = {a, b, c, d, e, f} partially ordered set and subset B = {b, c, d} Let R = {(b,…

A: Given data: R=b,a,c,d,d,b,e,c,f,d,e,d,f,c which is relation for A=a,b,c,d,e,f partially ordered set…

Q: Let a₁ = -3 h -2 a₂ = -6 1 , and a3 = -8 20 The set {a₁, a2, a3}| will span R³ unless h = 19 (If…

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Q: Which of the following pairs of sets can be placed in a one-to-one correspondence? Why? (a) { a, b,…

A:

Q: Let   A = {1, 2, 3, 4, 5},   B = {2, 4, 6, 8}   and     C = {1, 3, 5, 6, 7} For each of the…

A: Given A = {1, 2, 3, 4, 5},   B = {2, 4, 6, 8}   and     C = {1, 3, 5, 6, 7}

Q: What is a set? What is a subset? How can we show that a set is equal to another set, using this…

A: To define: the set, subset. To show: a set is equal to another set. Please post the multiple…

Q: Which of the following sets spans R³? {(0,1,-1)} None of these O {(0,1,-1).(0,0,0)} O…

A:

Q: Use graph to find  set. [1, 3) ∩ (0, 4)

A: Given set is  [1, 3) ∩ (0, 4) The graph of the given set is as shown

Q: . Sketch the graph of the set defined by A x B where A is the closed interval [-2, 4] and B = {1, 3,…

A:

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: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: True or False? 9. Let A, B, and C be any sets then C − (A ∩ B) = (C − A) ∪ (C − B).

A:

Q: (e) Given the sets A = {-5, –3,0, 1, 5} and B = {-4, –3,0, 1, 5, 6}. Find AN B. (A) {-5, –4, –3, 0,…

A: We have to find out the intersection part

Q: [16] 1. Represent each pair of sets A and B on a number line, then find AUB and An B in interval…

A:

Q: Find the closure of each of the following sets: (a) (3,5) U {6} (b) (-∞, 0) U (0, 1)

A:

Q: Identify which sets are equal A = {0,1,2} B = {x ∈ R | -1 ≤ x < 3} C = {x ∈ R | -1 < x < 3} D =…

A: We identify which sets are equal.

Q: The sets A, B, C and D are defined as follows: A = {-1, 0, 1, 2, 3} B = {1/2, 1, 4} C = {x | 0 &lt;…

A: The sets A, B, C and D are defined as follows: A = {-1, 0, 1, 2, 3} B = {1/2, 1, 4} C = {x | 0 &lt;…

Q: Find the indicated sets. (a) P({1,2} × {3}). (b) P({1,2}) × P({3}). (c) {X e P({1,2,3}) : 2 EX}.

A:

Q: Identify the missing ordered pairs from the given list. The list of all ordered pairs in the given…

A:

Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

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Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: Explanation of the answer is as follows

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: Given three sets A, B, and C. A = {x €Z|-2<x<1},B= {x€Z]x2-1=0}, C= {0, – 1,- 2, -3}. (a) List…

A:

Q: Given sets X, Y and Z, use the set properties to show that (Z - x) n (z-Y)=Z-(XUY), indicate every…

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Q: (a) (AUB)\C= (A \C)U(B\C)

A:

Q: Relations Given the sets over the domain {a, b, c, d}: A = { (a, a), (b, b), (d, d), (b, a) } B = {…

A:

Q: Given: Sets: A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} and B={0, 1, 4,9, 16, 25} Relation: R≤BX A…

A:

Q: 3. Let A, B, C be sets. Provide a proof or a counterexample for each of the following statements. a.…

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Q: (c) A \ B = A \ (An B). (d) A = (ANB) U (A \ B).

A:

Q: List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if…

A: 1. As 0≤0, 0≤1, 0≤2, 0≤3, 1≤1, 1≤2, 1≤3, 2≤2, 2≤3, 3≤3 So the ordered pairs relation is R = {(0, 0),…

Q: Find the union of each of the following pairs of sets :(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = [ a,…

A: