Define a relation S from R to R as follows:For all (x, y)

Chapter 1, Problem 5E

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QUESTION:

Define a relation S from R to R as follows: For all \((x, y) \in \mathbf{R} \times \mathbf{R}\),

                                           \((x, y) \in S\) means that \(x \geq y\).

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

b. Draw the graph of S in the Cartesian plane.

Text Transcription:

(x, y) in R times R

(x, y) in S

x geq y

(2,1) in S

(2,2) in S

Questions & Answers

QUESTION:

Define a relation S from R to R as follows: For all \((x, y) \in \mathbf{R} \times \mathbf{R}\),

                                           \((x, y) \in S\) means that \(x \geq y\).

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

b. Draw the graph of S in the Cartesian plane.

Text Transcription:

(x, y) in R times R

(x, y) in S

x geq y

(2,1) in S

(2,2) in S

ANSWER:

Solution:Step 1In this problem we need to answer the parts of the question.

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