00:01
In this problem, we need to determine whether the given conditional statements are true or false.
00:06
Now, for that, first of all, let us consider the truth table for the conditional statement.
00:12
So if we have p, q, and the conditional statement, and we consider all possible truth value combinations, then the first row will have true, the next one will have false, and the next ones will have true.
00:34
That is, if p, then q is true when p is false and when p and q are both true, the only case in which it is false is if p is true but q is false.
00:47
Now using that, let us consider the given statements.
00:50
Now, the first statement is, if 1 plus 1 is 3, then unicorns exist.
00:56
So if 1 plus 1 is 3.
00:59
1 plus 1 is not equal to 3, that is false.
01:03
If f, then unicorns exist and unicorns don't exist.
01:08
So this is false.
01:10
If f, then f.
01:12
And we can see from here that the value will be true.
01:15
So this first conditional statement is true...