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correct negation of this statement: Vx € R, (3y E R, P(y) ^ Q(x, y)) → x > 5 O Jx € R, (Vy E R, P(y) ^ ¬Q(x, y)) ^ æ < 5 Jar e R, (3y E R, P(y) ^ Q(x, y)) ^ ¤ < 5 Vx E R, (Vy E R, ¬P(y) V ¬Q(x, y)) = x < 5 Vx E R, (3y E R, P(y) ^ Q(x, y) → x < 5 O Jæ E R, (Vy E R, ¬P(y) V ¬Q(x, y)) V x > 5

correct negation of this statement: Vx € R, (3y E R, P(y) ^ Q(x, y)) → x > 5 O Jx € R, (Vy E R, P(y) ^ ¬Q(x, y)) ^ æ < 5 Jar e R, (3y E R, P(y) ^ Q(x, y)) ^ ¤ < 5 Vx E R, (Vy E R, ¬P(y) V ¬Q(x, y)) = x < 5 Vx E R, (3y E R, P(y) ^ Q(x, y) → x < 5 O Jæ E R, (Vy E R, ¬P(y) V ¬Q(x, y)) V x > 5

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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Review the negation rules on page 25 of the Course Notes. Then, select the correct negation of this statement: Væ E R, (3y E R, P(y) ^ Q(x, y)) → x > 5 O 3r E R, (Vy E R, P(y) ^ ¬Q(x, y)) ^ æ < 5 O ax E R, (Ey E R, P(y) ^ Q(x, y)) ^æ < 5 O Væ E R, (Vy ER, ¬P(y) V ¬Q(x, y)) → x < 5 Vx E R, (Ey E R, P(y) ^ Q(x, y) → x < 5 Jx ER, (Vy E R, ¬P(y) V ¬Q(x, y)) V æ > 5
Transcribed Image Text:Review the negation rules on page 25 of the Course Notes. Then, select the correct negation of this statement: Væ E R, (3y E R, P(y) ^ Q(x, y)) → x > 5 O 3r E R, (Vy E R, P(y) ^ ¬Q(x, y)) ^ æ < 5 O ax E R, (Ey E R, P(y) ^ Q(x, y)) ^æ < 5 O Væ E R, (Vy ER, ¬P(y) V ¬Q(x, y)) → x < 5 Vx E R, (Ey E R, P(y) ^ Q(x, y) → x < 5 Jx ER, (Vy E R, ¬P(y) V ¬Q(x, y)) V æ > 5
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