Solved: Indicate which of the following statements are true and which are false. Justify

Chapter 3, Problem 3

(choose chapter or problem)

Let P(x) be the predicate “x > 1/x.”

a. Write P(2), \(P\left(\frac{1}{2}\right)\), P(−1), \(P\left(-\frac{1}{2}\right)\), and P(−8), and indicate which of these statements are true and which are false.

b. Find the truth set of P(x) if the domain of x is R, the set of all real numbers.

c. If the domain is the set \(\mathbf{R}^{+}\) of all positive real numbers, what is the truth set of P(x)?

Text Transcription:

P(1/2)

P(-1/2)

mathbf R^+

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