Assume that for every positive integer i, A₁ = (-i, i), that is the set of real numbers x with -i < x < i. a) Write the first 3 of these indexed sets. b) Determine A2 - A1, expressing the result using interval or set builder notations. c) Find U₁₁ A¿ and ſ₁₁ A¿

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Q: write as interval the set defined on the real line 45 67 8 -3 -2 -1 0 1 2 a) b) -2 c) -5 -4 -3 -2 -1…

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Q: 1. Assume that for every positive integer i, A¡ = (-i, i), that is the set of real numbers x with…

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Q: Which x satisfies both Ix - 31 &lt; 2 and Ix - 51 &lt; 1?

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

A: Explained below

Q: 2.) Describe the following sets using the two methods of writing set. a) The set of integer greater…

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Q: 3.Evaluate ex dx, by Simpson's ½ rule. n=6` 1 = (b − a) ƒ (xo) + 4f (x₂) + 6 f(x₂)

A: We have to solve by Composite Trapezoidal Method.

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Q: a Prove that the interval [-1, 2] is a closed set in R. Explain each step in your argument.

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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}

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Q: Prove that A°= A - Ab.

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Q: Give an example of numbers a and b such that |a + b| &lt; |a|+|b|.

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Q: Which of the following defines the domain of |4x-8<12? A) -8<x<-4 B)-4 <x < 8 C) -1<x< 5 D) 1<x<5

A: We can solve the inequality in order to get the solution.

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Q: Is it a set of all real numbers

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Q: 5. Let the universal set be R, the set of all real numbers, and let A = {x € R| – 4 <x< 1},B = {x €…

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Q: Help with this please

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