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6. Are the statements true or false? Prove or give a counter example. (i) (3æ)(Vy)(x + y = 2). (Universal set is R) (ii) (Væ)(Vy)(3z)(rz=y). (Universal set is Z).

6. Are the statements true or false? Prove or give a counter example. (i) (3æ)(Vy)(x + y = 2). (Universal set is R) (ii) (Væ)(Vy)(3z)(rz=y). (Universal set is Z).

Advanced Engineering Mathematics
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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6. Are the statements true or false? Prove or give a counter example. (i) (Jæ)(Vy)(x +y = z). (Universal set is R) (ii) (Væ)(Vy)(32)(æz = y). (Universal set is Z). (ii) (3æ)(Vy ± 0)(æy = 1). (Universal set is R) (iv) (Vy + 0)(3x)(xy = 1) (Universal set is R) (v) (Vy)(3)(x+y = 2). (Universal set is N)
Transcribed Image Text:6. Are the statements true or false? Prove or give a counter example. (i) (Jæ)(Vy)(x +y = z). (Universal set is R) (ii) (Væ)(Vy)(32)(æz = y). (Universal set is Z). (ii) (3æ)(Vy ± 0)(æy = 1). (Universal set is R) (iv) (Vy + 0)(3x)(xy = 1) (Universal set is R) (v) (Vy)(3)(x+y = 2). (Universal set is N)
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