1. Write negations of: (a) Vn e Z, if n is prime, thenn= 2 or n is odd (b) 3a,beR, (ab > 0)^ (a+b<0) Write the following rational number as a fraction of two integers: 2. x = 0.2373737... Disprove: Vx, y e R, if xy >1 then x>1 and y>1 3. 4. Prove: Vn e Z, if n>2 then n -1 is composite. 5. Prove: Va,b e Z, if a|b and a|c then a|(2b – 3c)

1. Write negations of: (a) Vn e Z, if n is prime, thenn= 2 or n is odd (b) 3a,beR, (ab > 0)^ (a+b<0) Write the following rational number as a fraction of two integers: 2. x = 0.2373737... Disprove: Vx, y e R, if xy >1 then x>1 and y>1 3. 4. Prove: Vn e Z, if n>2 then n -1 is composite. 5. Prove: Va,b e Z, if a|b and a|c then a|(2b – 3c)

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

This are a Math discrete structure questions.

1. Write negations of:
(a) Vn e Z, if n is prime, thenn= 2 or n is odd
(b) 3a,beR, (ab > 0)^ (a+b<0)
Write the following rational number as a fraction of two integers:
2.
x = 0.2373737...
Disprove: Vx, y e R, if xy >1 then x>1 and y>1
3.

4. Prove: Vn e Z, if n>2 then n -1 is composite.
5. Prove: Va,b e Z, if a|b and a|c then a|(2b – 3c)

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