91Ó°ÊÓ

Let \(P(x)\) denote the statement " \(x\) is an accountant," and let \(Q(x)\) denote the statement "x owns a Porsche" Write each statement symbolically. Someone who owns a Porsche is an accountant.

Represent the proposition symbolically by letting \(p:\) There is a hurricane. \(q:\) It is raining. There is a hurricane and it is raining.

Represent the given proposition symbolically by letting \(p:\) You run lo laps daily. \(q:\) You are healthy. \(r:\) You take multi-vitamins. If you are healthy and run 10 laps daily, then you do not take multi-vitamins.

Represent the proposition symbolically by letting \(p:\) There is a hurricane. \(q:\) It is raining. There is a hurricane, but it is not raining.

Represent the proposition symbolically by letting \(p:\) There is a hurricane. \(q:\) It is raining. There is no hurricane and it is not raining.

Determine the truth value of each statement. The domain of discourse is \(\mathbf{R}\). Justify your answers. $$ \forall x\left(x^{2}>x\right) $$

Formulate the symbolic expression in words using \(p:\) Today is Monday, \(q:\) It is raining, \(r:\) It is hot. $$ p \rightarrow q $$

Draw a Venn diagram and shade the given set. \(\bar{A}-B\)

Represent the proposition symbolically by letting \(p:\) There is a hurricane. \(q:\) It is raining. Either there is a hurricane or it is raining (or both).

Draw a Venn diagram and shade the given set. $$ B \cup(B-A) $$