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For an integer n, consider the open sentence P(n) : 1 2 _n is an integer. (a) Give an

Chapter 1, Problem 6

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QUESTION:

For an integer n, consider the open sentence P(n) : 1 2 _n is an integer. (a) Give an example of an integer n such that P(n) is false. (b) Give an example of an integer n such that P(n) is true.

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QUESTION:

For an integer n, consider the open sentence P(n) : 1 2 _n is an integer. (a) Give an example of an integer n such that P(n) is false. (b) Give an example of an integer n such that P(n) is true.

ANSWER:

Problem 6

For an integer n, consider the open sentence  is an integer. (a) Give an example of an integer n such that P(n) is false. (b) Give an example of an integer n such that P(n) is true.

                                                            Step by Step solution

Step 1 of 3

The open sentence is defined as the declarative sentence that contains one or more variables. Whether the open sentence is correct or incorrect, it completely depends on the values of the variables.

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