Answer to Question #321093 in Discrete Mathematics for Shines

Question

2. Determine the truth value of each of these statements if the domain consist of all integers.

A. ∀n (n+1>n)

B. Ǝn (n = -n)

C. Ǝn (2n = 3n)

D. ∀n (3n ≤ 4n)

Answer 1

a. true. For all integers, n+1>n

b.true. 0=-0

c. true. 2$\times$ 0=3$\times$ 0=0

d.false. if n <0, 3n>4n