Monday, September 22, 2014

conditional statements

1. Original: if you put on sunscreen, then you won't get a sunburn.

2. Inverse: if you don't put on sunscreen, then you will get a sunburn.

3. Converse: If you didn't get a sunburn, then you put on sunscreen.

4. Contrapositive: If you get a sunburn, then you didn't put on sunscreen.

The original is true (obviously). The inverse and converse are not true because some people don't burn or don't need to wear sunscreen, so if you don't put on sunscreen you might not get a sunburn and if you didn't get a sunburn you still might not have put on sunscreen. The contrapositive is true because in the first statement I said that if you put on sunscreen you will not get a sunburn. So, based on those conditions, if you get a sunburn you didn't put on sunscreen.

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