Let A = {3,4,5,6} and B = {1,2,3} and define a relation R: A → B as follows: For all (x, y) ∈ A × B, (x, y) ∈ R if and only if x ≥ 2y. a. Write R as a set of ordered pairs. b. Write R-1 as a set of ordered pairs. c. Draw the graph of R in the Cartesian plane.
Let A = {3,4,5,6} and B = {1,2,3} and define a relation R: A → B as follows: For all (x, y) ∈ A × B, (x, y) ∈ R if and only if x ≥ 2y. a. Write R as a set of ordered pairs. b. Write R-1 as a set of ordered pairs. c. Draw the graph of R in the Cartesian plane.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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Let A = {3,4,5,6} and B = {1,2,3} and define a relation R: A → B as follows:
For all (x, y) ∈ A × B, (x, y) ∈ R if and only if x ≥ 2y.
a. Write R as a set of ordered pairs.
b. Write R-1 as a set of ordered pairs.
c. Draw the graph of R in the Cartesian plane.
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