a Let q = and r = be two rational numbers written in lowest terms. Let s = q +r and s = be written in lowest terms. Assume that s is not 0. Prove or disprove the following two statements. a. If b and d are odd, then f is odd. b. If b and d are even, then f is even.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 13E: 13. Prove that if and are rational numbers such that then there exists a rational number such...
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a
Let q = and r =
be two rational numbers written in lowest terms. Let
s = q +r and s = be written in lowest terms. Assume that s is not 0.
Prove or disprove the following two statements.
a. If b and d are odd, then f is odd.
b. If b and d are even, then f is even.
Transcribed Image Text:a Let q = and r = be two rational numbers written in lowest terms. Let s = q +r and s = be written in lowest terms. Assume that s is not 0. Prove or disprove the following two statements. a. If b and d are odd, then f is odd. b. If b and d are even, then f is even.
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