Let P(x) be the predicate “x > 1/x.” a) Write P(2), P( 1/2 ), P(−1), P(−1/2 ), 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 R+ of all positive real numbers, what is the truth set of P(x)?
Let P(x) be the predicate “x > 1/x.” a) Write P(2), P( 1/2 ), P(−1), P(−1/2 ), 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 R+ of all positive real numbers, what is the truth set of P(x)?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter0: A Review Of Basic Algebra
Section0.2: Integer Exponents And Scientific Notation
Problem 94E
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Let P(x) be the predicate “x > 1/x.”
a) Write P(2), P( 1/2 ), P(−1), P(−1/2 ), 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 R+ of all positive real numbers, what is the truth set of P(x)?
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