1 Given the statement S: 'every student is a computer science student' and considering the universe of discourse: P = {a

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1 Given The Statement S Every Student Is A Computer Science Student And Considering The Universe Of Discourse P A 1 (98.1 KiB) Viewed 74 times

1 Given the statement S: 'every student is a computer science student' and considering the universe of discourse: P = {all people}, let A(x) be: 'x is a student' and U(2) be 'x is Computer Science student'. Which of the following statements correctly expresses the statement S? a) VT 6 P(A() AU (2) b) Ex € P(A(x) + VxU(x)) c) Vx € P(A(x) →U()) d) Vx € P(A(x) + VæU(x)) 2 Suppose that the domain of the propositional function P(x) consists of 1, 2, 3, 4. Without using quantifiers but using only negations, disjunctions and conjunctions, express the statement : 3x, (x2 > 4) ^ P(x)). a) —P(1) V P(2) V P(3) V P(4) b) P(2) V P(3) V P(4) c) P(2) ΛΡ(3) ΔΡ(4) d) —P(1) A P(2) A P(3) ^ P(4)