(c) Va (5) Find the truth values of the following statements. Then construct their negations (a) There exists an integer x such that (x²-x-1)(x + 1) = 0. (b) For all real numbers x and y, x² + y³ ≥ 0. (c) There exist distinct integers x and y such that x² = y³. (d) There exist distinct integers x and y such that x = y³.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(c) Va
(5) Find the truth values of the following statements. Then construct their negations
(a) There exists an integer x such that (x²-x-1)(x + 1) = 0.
(b) For all real numbers x and y, x² + y³ ≥ 0.
(c) There exist distinct integers x and y such that x² = y³.
(d) There exist distinct integers x and y such that x = y³.
Transcribed Image Text:(c) Va (5) Find the truth values of the following statements. Then construct their negations (a) There exists an integer x such that (x²-x-1)(x + 1) = 0. (b) For all real numbers x and y, x² + y³ ≥ 0. (c) There exist distinct integers x and y such that x² = y³. (d) There exist distinct integers x and y such that x = y³.
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