Suppose that the domain of the propositional function p(x) consists of −5, −3, −1, 1, 3, and 5. express these statements without using quantifiers, instead using only negations, disjunctions, and conjunctions.

a) ∃xp (x)
b) ∀xp (x)
c) ∀x((x ≠ 1) → p (x))
d) ∃x((x ≥ 0) ∧ p (x))
e) ∃x(¬p (x)) ∧ ∀x((x < 0) → p (x))

answer: what statements

step-by-step explanation if you write the statements down then i could you.

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation:

there still no table

step-by-step explanation: hi!