Let, x belongs to positive integers. A, B and C are the sets expressed with the following set buile notations. A = {x |x is prime number not exceeding 15} B = {x|x is positive odd integers not exceeding 15} C = {x |x is positive integers not exceeding 15 and divided by both 2 and 3}

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Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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A: Given set { x | x = 4k + 1, and k is a natural number} = {4×1+1, 4×2+1, 4×3+1, 4×4+1, ... } = {5, 9,…

Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: find a Positive integern for which the equality holds %3D

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Q: Show that 2N, the collection of all sets of natural numbers, is uncountable.

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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: Denote the set using the listing method {x| x is reciprocal of a positive odd number

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Q: IfX~N(7,4), the P(15.364 ≤ (X-7)² ≤ 20.095) is

A: Given problem is :

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A: A set is said to be empty if it does not contain any element.

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Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: 2. Which of the following sets does not contain any inrational numbers? a. (-5.12, 1, 30) c.(, VT00,…

A: The sets are, -5.12, π, 30 92, 100, 5.123 80, 100, 6.56 5.123....,12, -65

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A: Natural numbers do not include negative numbers.

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A: To determine the greatest common divisor, d and then to find m and n such that d = mr + ns. (a) r=32…