# Logic Problems

1. Write the statement in symbolic form and construct a truth table.

The zoo is open, but it is not a nice day.

2. Use DeMorgan's laws to determine whether the two statements are equivalent.

? (p V ?q), ?p ^ q

3. Determine the truth value of a statement.

15-7=22 or 4+8=13, and 9-8=1

https://brainmass.com/math/discrete-math/logic-problems-statements-276472

#### Solution Preview

1. Write the statement in symbolic form and construct a truth table.

The zoo is open, but it is not a nice day.

Solution: The expression uses an XOR operation because of the word BUT. So we have:

F = (Z ^ ~(~D)) V (~Z ^ ~D)

Where ...

#### Solution Summary

This posting contains the solution to the given problems. The expert determines the truth value of a statement.

$2.19