Let C = D = {?3,?2,?1, 1, 2, 3} and define a relation S

Chapter 1, Problem 2E

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QUESTION:

Problem 2E

Let C = D = {−3,−2,−1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) C × D,

a. Is 2 S 2? Is −1S − 1? Is (3, 3) S? Is (3,−3) S?

b. Write S as a set of ordered pairs.

c. Write the domain and co-domain of S.

d. Draw an arrow diagram for S.

Questions & Answers

QUESTION:

Problem 2E

Let C = D = {−3,−2,−1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) C × D,

a. Is 2 S 2? Is −1S − 1? Is (3, 3) S? Is (3,−3) S?

b. Write S as a set of ordered pairs.

c. Write the domain and co-domain of S.

d. Draw an arrow diagram for S.

ANSWER:

Solution:

Step 1

In this problem given that,

Let C = D = {−3,−2,−1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) C × D,

means that  is an integer.

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