00:01
In this problem, we have been asked to write each of the given propositions in the form if and only if in english.
00:08
So the first sentence is, for you to get an a in this course, it is necessary and sufficient that you learn how to solve discrete mathematics problems.
00:18
That means that we can write it in the form.
00:21
You will get an a in this course, if and only if, if and only if and only.
00:38
If you learn how to solve discrete mathematics problems.
00:57
This is because necessary and sufficient implies if and only if, that it means the same thing.
01:04
So if it is necessary and sufficient, that means if and only if.
01:07
So you will get an a in this course if and only if you learn how to solve discrete mathematics problems.
01:14
So we have the next statement.
01:16
If you read the newspaper every day, you will be informed and conversely.
01:20
So we say that if you read the newspaper, you'll be informed, and the converse also holds.
01:26
So that means that you will be informed if and only if you read the newspaper every day.
01:57
Then we move on to the next statement...