Suppose that the domain of the propositional function P (x) consists of -5, -3, -1, 1, 3, and 5.

Suppose that the domain of the propositional function P (x) consists of -5, -3, -1, 1, 3, and5. Express the following statements without using quantifiers; that is, 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))