Let X = {x € Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y +1< 15}. Define a relation R from X to Y as follows. Given any (x, y) E X × Y, (x, y) E R means that x + 2y + 4 is a multiple of 2.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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Let X = {x € Z+ | 15 < 4.x < 22} and Y =
{y is even | 0 < 2y +1 < 15}.
Define a relation R from X to Y as follows. Given any (x, y) E X × Y,
(x, y) E R
means that
x + 2y + 4 is a multiple of 2.
Transcribed Image Text:Let X = {x € Z+ | 15 < 4.x < 22} and Y = {y is even | 0 < 2y +1 < 15}. Define a relation R from X to Y as follows. Given any (x, y) E X × Y, (x, y) E R means that x + 2y + 4 is a multiple of 2.
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