For each relation below, answer whether it is reflexive, whether it is symmetric, and whether it is transitive. (a) The function on the integers f(x) = x + 1. (b) The function on the rationals f(x) = x / 1. (c) {(x, y) Nx N] x² < y²}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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For each relation below, answer whether it is reflexive, whether it is symmetric, and
whether it is transitive.
(a) The function on the integers f(x) = x + 1.
(b) The function on the rationals f(x) = x / 1.
(c) {(x, y) Nx N | x² < y²}
(d) Pairs of strings where the second is a substring of the first, like the pair (Tear, Tea).
Transcribed Image Text:For each relation below, answer whether it is reflexive, whether it is symmetric, and whether it is transitive. (a) The function on the integers f(x) = x + 1. (b) The function on the rationals f(x) = x / 1. (c) {(x, y) Nx N | x² < y²} (d) Pairs of strings where the second is a substring of the first, like the pair (Tear, Tea).
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