Discrete Mathematics Answers

whether each of these functions is a bijection from R to R. f (x) = x 3 -1 

∃𝑥 (𝑥 + 1 = 0 ∨ 𝑥 + 2 = 0) write the negation of the following

Let Q(x) be the statement “x + 1 > 2x.” If the domain consists of all integers, what are these truth values? a) Q(0) b) Q(−1) c) Q(1) d) ∃xQ(x) e) ∀xQ(x) f) ∃x¬Q(x) g) ∀x¬Q(x)

Establish the validity of the argument with the premises p -> (q -> r) , p \/ s , t ->q , ~s and ~r -> ~t

Given a set of five distinct science books, three distinct math

books and two distinct history books.

a. In how many ways can these books be arranged on a shelf?

¬𝑝 ∧ (𝑝 ∨ 𝑞)] ⇒ 𝑞 

1 + 1 =

Determine the truth value of each of the following statements:/5mrks

(i) Paris is in France or 4+4=8

(ii) 4+4=9 and5+8=11

(iii) m+2is the unit of area or Kg is the unit of mass

(iv) If Kigali is capital city of Rwanda and Kampala is not capital city of Uganda, then

Bujumbura is the capital city of Burundi.