If "today is Monday" is true and "It is May 5th is false, which of the following is false?

1 - Today is Monday and it is not May 5th.
2 - If today is Monday, then it is May 5th.
3 - Today is not Monday only if it is May 5th.
4. Today is not Monday or it is May 5th.

To determine which of the statements is false, let's analyze each statement one by one using the given information:

1 - Today is Monday and it is not May 5th.

According to the given information, "today is Monday" is true and "it is May 5th" is false. Based on these facts, statement 1 is true.

2 - If today is Monday, then it is May 5th.

We know that "today is Monday" is true, but "it is May 5th" is false. So, statement 2 is false, as not every Monday is May 5th.

3 - Today is not Monday only if it is May 5th.

This statement implies that "today is May 5th" has a condition, which is "today is not Monday." However, since "today is Monday" is true, the condition is not satisfied, making statement 3 false.

4 - Today is not Monday or it is May 5th.

This statement uses the logical operator "or," which means that either one of the conditions needs to be true for the whole statement to be true. Since "today is Monday" is true, the statement is already true without relying on the second condition. Therefore, statement 4 is true.

In conclusion, the false statement is statement 2 - "If today is Monday, then it is May 5th."