Let p and q represent the following simple statements: p: This is an octopus. q: It is snowing outside. Write the following compound statement in its symbolic form. This is an octopus and it is snowing outside. The symbolic form is.

Write each sentence in symbolic form. Use p, q, rand s as defined below.   p​: Paul is a table tennis player. q​: Paul is a basketball player. r​: Paul is a rock star. s​: Paul is a mechanical engineer.     (a) Paul is a table tennis player or a basketball player, and he is not an engineer. (b) If it is not true that Paul is a table tennis player or a rock star, then Paul is a mechanical engineer. (c) Either Paul is a basketball player and a rock star, or he is a table tennis player. (d) Paul is a basketball player, if and only if he is not a football player and he is not a rock star. (e) If Paul is a mechanical engineer, then he is a basketball player and he is not a table tennis player.

Let q and r represent the following simple statements. q: It is snowing. r: We are going on a sleigh ride. Write the symbolic statement ~qar in words. .... . Choose the correct sentence below. A. It is not snowing or we are going on a sleigh ride. B. If it is snowing, then we are not going on a sleigh ride. C. It is snowing and we are not going on a sleigh ride. D. It is not snowing and we are going on a sleigh ride.

For the simple statements p: There is a fire in the fireplace. q: The house is cold. Match each compound statement to its symbolic form.    If the house is cold then there is no fire in the fireplace.  There is a fire in the fireplace or the house is not cold.  There is a fire in the fireplace and the house is not cold.  There is a fire in the fireplace if and only if the house is not cold.  There is no fire in the fireplace if and only if the house is cold.  There is no fire in the fireplace or the house is cold.  There is no fire in the fireplace and the house is cold.  If there is a fire in the fireplace then the house is not cold. `p \rightarrow ~q` `p \leftrightarrow ~q` `~p \wedge q` `~p \leftrightarrow q` `p \vee ~q` `~p \vee q` `q \rightarrow ~p` `p \wedge ~q`