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Let A = {1, 2, 3} and B = = {4, 5, 6}. a. Give an example of a relation R from A to B such that 1 is related to 5 but 2 is not related to 4. b. How many relations are there from A to B? Justify your answer. c. A relation R from A to B is defined as follows: R = {(a, b)| aEA, bEB and a + b is even}. Express R as a set of ordered-pairs. d. Give an example of a function from A to B such that 1 is related to 5 and 2 is related to 4. e. How many functions are there from A to B? Justify your answer.

Let A = {1, 2, 3} and B = = {4, 5, 6}. a. Give an example of a relation R from A to B such that 1 is related to 5 but 2 is not related to 4. b. How many relations are there from A to B? Justify your answer. c. A relation R from A to B is defined as follows: R = {(a, b)| aEA, bEB and a + b is even}. Express R as a set of ordered-pairs. d. Give an example of a function from A to B such that 1 is related to 5 and 2 is related to 4. e. How many functions are there from A to B? Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Let A = {1, 2, 3} and B = {4, 5, 6}. a. Give an example of a relation R from A to B such that 1 is related to 5 but 2 is not related to 4. b. How many relations are there from A to B? Justify your answer. c. A relation R from A to B is defined as follows: R = {(a, b)| aEA, bEB and a + b is even}. Express R as a set of ordered-pairs. d. Give an example of a function from A to B such that 1 is related to 5 and 2 is related to 4. e. How many functions are there from A to B? Justify your answer.
Transcribed Image Text:1. Let A = {1, 2, 3} and B = {4, 5, 6}. a. Give an example of a relation R from A to B such that 1 is related to 5 but 2 is not related to 4. b. How many relations are there from A to B? Justify your answer. c. A relation R from A to B is defined as follows: R = {(a, b)| aEA, bEB and a + b is even}. Express R as a set of ordered-pairs. d. Give an example of a function from A to B such that 1 is related to 5 and 2 is related to 4. e. How many functions are there from A to B? Justify your answer.
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