00:01
All right, for this problem, we have four propositions, and we want to figure out what the negation of each proposition is.
00:08
Now, keep in mind, a negation is essentially a proposition, which, taken with its companion, let's say, both cannot be true at the same time.
00:20
So, for this first one, we have jennifer and teja are friends.
00:24
The only thing that we can say that would make that, you know, that would be contradictory, would be jennifer and tejah are not friends.
00:35
Those true propositions, jennifer and tejah are friends and jennifer and tejah are not friends, cannot be true simultaneously.
00:45
For the second statement, you have there are 13 items in a baker's dozen.
00:51
Now, the negation there, pretty simple.
00:53
There are not 13 items in a baker's dozen.
00:59
It could be that there are more than 13, or it could be that there are less, but all we can say for the negation, or all we have to say for the negation, is that there are not 13 items in a baker's dozen.
01:11
Compare that to proposition 3.
01:14
Abby sent more than 100 text messages yesterday.
01:19
So we could say abby did not...