00:01
In this problem, it is said that cx is the statement x has a cat, dx is the statement x has a dog, and fx is the statement x has a ferret.
00:08
Now, the universe of discourse consists of all students in the class.
00:12
Now, we need to mass the given statements expressed in terms of cx, dx, fx, quantifiers, and logical connectives with the statements written in normal plain english.
00:25
So let's do that.
00:26
So we have five statements.
00:29
One, two, three, four, and five.
00:34
So let's consider the first one.
00:37
So in the first one we have, there does not exist x says that cx and dx and fx.
00:44
So that means that there does not exist any student in your class who owns a cat and owns a dog and owns a ferret.
00:53
And so the correct option for this one will be option b.
00:58
That is no student in this class has a cat, a dog, and a ferret.
01:02
Now let us move on to number two.
01:05
Here we have for all x, cx or dx or fx.
01:10
So that means for all the students in the class, either that student has a cat or the student has a dog or the student has a ferret...