Let U = {1,2,3, 4,5} and let A = P(U) be the power set of U. Define the relation R on A by: for 1, Y € A, we say ±Ry if z C y. Let B be the subset of A given by: B= {{1,4}, {2,4}} a) Determine all of the upper bounds of B. b) Determine the least upper bound of B (if it exists). c) Determine all of the lower bounds of B. d) Determine the greatest lower bound of B (if it exists). You do not need to show your work for this question.

Let U = {1,2,3, 4,5} and let A = P(U) be the power set of U. Define the relation R on A by: for 1, Y € A, we say ±Ry if z C y. Let B be the subset of A given by: B= {{1,4}, {2,4}} a) Determine all of the upper bounds of B. b) Determine the least upper bound of B (if it exists). c) Determine all of the lower bounds of B. d) Determine the greatest lower bound of B (if it exists). You do not need to show your work for this question.

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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Question

- Let U = {1,2, 3, 4, 5} and let A = P(U) be the power set of
U. Define the relation R on A by: for x, y € A, we say xRy if a Cy. Let
B be the subset of A given by:
B = {{1,4}, {2, 4}}
a) Determine all of the upper bounds of B.
b) Determine the least upper bound of B (if it exists).
c) Determine all of the lower bounds of B.
d) Determine the greatest lower bound of B (if it exists).
You do not need to show your work for this question.

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