
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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en HW 4
fiu.instructure.com
work 4 (Fall 21).pdf
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Problem 4.
Let R₁ = {(a, b) E P²: a divides b} and R₂ = {(a, b) E P²: a is a multiple of b} where P is
the set of positive integer numbers. Find
a) R₁ UR₂
b) R₁NR₂
c) R₁ R₂
d) R₂\R₁
Module 4 Discussion X
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Problem 5.
a) Prove that the relation R on a set A is symmetric if and only if R = R-¹, where R-¹ is
the inverse relation of R.
b) Prove that the relation R on a set A is antisymmetric if and only if R n R-¹ is subset of
the relation A= {(a, a) | a € A}.
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