9. Write down the converse, inverse and contrapositive...

9. Write down the converse, inverse and contrapositive statements of the followings. • If you drink Pepsi, then you are happy. • If you don't carry an umbrella, you'll get soaked. • If you know the password, then you can get in. • If you pass MGF1106, then a liberal studies math requirement is fulfilled. • If we get a pay raise, then we will be content. • If it is raining, then we will watch TV. • If a dog wags its tail, then it won't bite. • If it rains, then I won't go to class. 10. Select that statement that is logically equivalent to: "If you don't carry an umbrella, you'll get soaked." • You carry an umbrella and you won't get soaked. • You carry an umbrella or you get soaked. • You don't carry an umbrella and you get soaked. • You don't carry an umbrella or you get soaked. • You leave your umbrella in the classroom, so you get soaked anyway.

Transcript

00:01 Now in this question, we look at two little questions, right? so let's look at them one, one.

00:05 The first one, you asked to write on the converse inverse and positive statements of foreign ins right.

00:10 So first says, if you drink pepsi, then you are happy.

00:13 So what the converse? that means if you are happy, you drink pepsi, right? what the inverse? the inverse is if you don't drink pepsi, you're not happy.

00:20 What is contrapositive? that means if you are not happy, then you don't drink pepsi, right? so how about you don't calculate a number that you get soaked, right? so the converse is if you don't get soaked, you will not carry an umbrella, right? the inverse, of course, is if you don't, if you carry an umbrella, you won't get soaked, right? and the contrapositive, of course, if you don't get soaked, you will not, if you don't get soaked, you will carry an umbrella, right? and the third one, if you know the password, then you can get in.

00:51 While the converse is, if you can get in, then you know the password.

00:54 The universe is if you don't know the password, you don't get in.

00:56 The country positive is if you don't get in, you don't know the password.

01:03 And the next one is you pass this.

01:06 The next one, the conversive, of course, if you, if a liberal study's math requirements fulfill, then you pass this course, right? and at the inverse, of course, that if you don't pass this and then laborer studies math requirement is not fulfilled, right? the positive is if a liberal studies math department is not fulfilled, then you don't pass this.

01:33 If you get a pay rise, if you get a pay rise, then we will be contained.

01:38 The converses, you don't get, the converses if you, if you, if you're content, you will get a pay rise.

01:44 And your verse is that you don't get pay rise, you don't get, you won't be content.

01:49 The contrivacy is if you won't be, if you aren't content, then you won't get a pay rise, right? if it's raining, for the next statement, the converse is if we watch tv, then it's raining.

02:02 The inverse, of course, if it's not raining, then we don't watch tv...

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