00:02
Hi there.
00:03
In this question, we have a logic problem and it appears in the form, if a, then b.
00:15
Because we have if he studies, he will pass the course.
00:20
So a is studies, b is past the course.
00:24
All right.
00:25
Anytime we have a logical statement or a statement, we can have a converse, we can have an inverse, or we can have a contrapositive.
00:50
Let's look at what these would look like for this particular example.
00:54
So the converse would be if b, then a.
01:05
That is the converse of our original statement.
01:09
Converse statements are not always true.
01:15
They may be, but not always.
01:22
Right.
01:23
Another thing we could have is inverse.
01:26
So the inverse would be something of the form, if not a, then not b.
01:40
Right.
01:41
Like converse, this one is also not always true.
01:56
And then finally, we have a contrapositive.
02:00
A contrapositive would be the form, if not b, then not a.
02:14
Cool thing about contrapositives? they are always true.
02:24
So let's apply this information to what we are given here...