Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Find the following: (i) If the bit string representation of B is o010100O010 , then find the set B its bit string representation. (ii) Let A be the set of primes in U. Is Ax B= B×A, why?

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Find the following: (i) If the bit string representation of B is o010100O010 , then find the set B its bit string representation. (ii) Let A be the set of primes in U. Is Ax B= B×A, why?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Find the following:
(i)
If the bit string representation of B is o010100O010 , then find the set B its bit string representation.
(ii)
Let A be the set of primes in U. Is Ax B= B×A, why?

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