Let Q(x, y) be the predicate If x < y then x 2 < y2 with domain for both x and y being

Chapter 3, Problem 5

(choose chapter or problem)

Let Q(x, y) be the predicate “If x < y then \(x^{2}<y^{2}\)” with domain for both x and y being the set R of real numbers.

a. Explain why Q(x, y) is false if x = −2 and y = 1.

b. Give values different from those in part (a) for which Q(x, y) is false.

c. Explain why Q(x, y) is true if x = 3 and y = 8.

d. Give values different from those in part (c) for which Q(x, y) is true.

Text Transcription:

x^2 < y^2

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