Let Q be the set of rational numbers and R be the set of real numbers, A = {x e R: 5

flx)3= X-2- 父に文ー3 X-3 Find domain of

Please provide a proof for the following statements(a) With domain of discourse as the real numbers, prove that the following statementis true:∀x((x > 1) → (x^2 + 4 > x + 4)) (b) With domain of discourse as the real numbers, determine if the following statement is true or false and justify your answer:∀x(x > 0 ∧ −x^2 < 0)(c) With domain of discourse as the real numbers, prove that the following statementis false:∀x∃y(y^2 < x^2 − 2)(d) State whether or not P ≡ Q, when P is the proposition (p → q) → (q ∧ r) and Qis the proposition p ∨ r. Prove the result.

18) Use the table below to determine between which consecutive integers the real zero(s) off(x)--14-4 located on the interval [-3, 4) 192 79 0.6 -2.7 -2 27 114 24.1 Answer(s)