Hi I am new to the site, I have been doing some examples out of the book and I found these 2 the most difficult for me to understand. My in class notes really didnt help and the book is kind of confusing. Any help would be nice and I would really appreciate it.

Ex. 2.3 P(m. n) is equivalent “m divides n,” both variables are the set of positive integers. i have to find the truth values for each of these

P(4,5)

P(2,4)

∀m∀n P(m, n)

∃m∀n P m, n

∃n∀mP m, n

∀n(P(1, n)

Ex 1.6 E = set of even integers, O = the set of odd integers. ℤ = the set of all integers. I have to determine the sets

E ∪ O

E ∩ O

ℤ − E

ℤ − O