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If we deÖne the following statements: P (x) : x = -3 Q (x) : x^2 - 9=0 then translate the following statements into formal logic notation, and then determine the truth value for each statement

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

If we deÖne the following statements:
P (x) : x = -3
Q (x) : x^2 - 9=0

then translate the following statements into formal logic notation, and then determine the truth value
for each statement

(a) If x² - 9 = 0, then x = -3.
(b) If x² - 90, then x = -3.
(c) There exists x such that x² - 9 = 0 and x −3.

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