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Prove or disprove: The set S = {(a, b) : a, b R} of all points in the plane is

Chapter 5, Problem 12

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QUESTION:

Prove or disprove: The set S = {(a, b) : a, b R} of all points in the plane is uncountable.

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QUESTION:

Prove or disprove: The set S = {(a, b) : a, b R} of all points in the plane is uncountable.

ANSWER:

Problem 12

Prove or disprove: The set  of all the points in the plane is uncountable.

                                                        Step by Step Solution

Step 1 of 3

It is given that  therefore it follows:

 

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