Problem 37E

The exercise is a puzzle that can be solved by translating Statements into logical expressions and reasoning from these expressions using truth tables.

Suppose there are signs on the doors to two rooms. The sign on the first door reads “In this room there is a lady, and in the other one there is a tiger”: and the sign on the second door reads “In one of these rooms, there is a lady, and in one of them there is a tiger.” Suppose that you know that one of these signs is true and the other is false. Behind which door is the lady?

Solution:

Step 1 ;

In this problem we have to find the behind in which door is the lady.

The logical expression gives and .

.’. The solution expression is