2. Let A = [1,3], B = {5}, and C = [4,6]. Write the inequalities (or equalities) that specify each of the following: (i) A x (BNC) (ii) (A x B) n (AXC) (iii) Sketch the sets in (i) and (ii) then state and prove a conjecture regarding these two sets.

Q: Solve the following inequalities graphically. Express your answer using set notation. a) 3x -1 S 11…

A: As per guidelines we have to solve the inequalities

Q: 6. The sets A and B are defined as: A = {2, 5, 7} B = {*, +} (a) Express the set A x B in roster…

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Q: Draw the relation

A: Given: x,y/x2+y2≤1 To draw: The relation.

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…

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Q: What Is the equation, in factored form, of the quadratic function shown In the graph? 5.

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Q: 2. Consider the following two relations on real numbers R₁ = {(a,b) = R² | a<b}, the lesser than…

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

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Q: 10. Σ = {(1,3), (-∞, 2), (0, ∞0), (-∞,4)}

A: This is the question from the topology.

Q: Describe the following sets by roster method: Example (i) {x : x + 5x + 6 = 0, x e N} (iii) {x : 4x…

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Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

A: Solution

Q: Indiana's favourite set is A = {r +1: zEZ, -3<zS1}, and Marcus's favourite set is just B= {3,...,8}…

A: Consider that set A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Since A=x2+1: x∈Z, -3≤x≤1 implies…

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}.

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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: (a) Let S be a set of real numbers with the property that if x1, x2 € S, then the midpoint (x1 + x2)…

A: a) Let S be a set of real numbers with the property that if x1,x2∈S, then the midpoint 12x1+x2 also…

Q: [2.28] Which of the following sets are convex and which are not? a. {(x₁, x₂) x² + x² ≥ 3}. : b.…

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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: F and H are sets of real numbers defined as follows. F={y|y21} H= {y |y>7} Write FUH and FnHusing…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

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…

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Q: Let A and B be nonempty sets of real numbers. If sup A exists then: а. sup (A U B) exists if sup(B)…

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

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Q: 13. If f is a polynomial function and f (10)=0, circle all of the following that must be true. a)…

A: option (b) would be true  the polynomial function x = 10 will be its one zero x=10⇒x-10=0⇒(x-10)=0…

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: Suppose that U and V are finite sets with |U| = m and |V| = are the maximum and minimum possible…

A: Maximum and minimum values of the set

Q: Q. 3 solve the following inequalities i) |x| 6 iii) |x – 4| 1 viii) |x + 1|0 хі) (2х — 1)(3х + 4) >…

A: You have asked a question with multiple sub parts. I have addressed the first three of them. Please…

Q: (b) Determine whether the following statements below is true or false. universal set = {0,1,2}…

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Q: (10) Prove that P(A)n P(B) is equal to P(An B) for any sets A and B. What can we say if the…

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Q: Let a,b be two different points in R^n one. We notice that d=(a,b)>0 (why is that so ?). Prove that…

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Q: -w³ (w+2)³(w - 4)º(w - 3) w² (w + 2)³ (w − 3)³ (w+9)¹ Given m(w) Round all answers to 3 decimal…

A: According to the Bartleby Guidelines, we can answer only first three subparts of a question at a…

Q: a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element?…

A: R=4,21,2,5,1a. (1,2) is not the element of R because from Hass diagram 2 is related to 1    here…