00:01
In this problem, we need to determine whether each of the given conditional statements are true or false.
00:07
Now, a conditional statement is of the form p implies q.
00:14
We write it like this.
00:16
And this will only be false if p is true, but q is false.
00:23
And in all other conditions and all other truth value combinations, we will have that p implies q is true.
00:31
So the only way it can be false is if p is true but q is false.
00:37
So let us consider the given statements.
00:40
The first statement is if 1 plus 1 is 2 then 2 plus 2 is 5.
00:44
So if 1 plus 1 is 2, 1 plus 1 is 2.
00:48
So that's true.
00:50
So if true then 2 plus 2 is equal to 5.
00:54
So 2 plus 2 is not equal to 5.
00:56
So this is false.
00:57
So we have true if true then false.
01:00
And this is the only the situation where a conditional statement is false...