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Mathematics 21 Online
OpenStudy (anonymous):

Which is the contrapositive of the conditional statement? If an animal is a turkey, then it has a beak. (Points : 1) If an animal does not have a beak, then it is not a turkey. If an animal does not have a beak, then it is a turkey. If an animal has a beak, then it is a turkey. If an animal is not a turkey, then it is does not have a beak.

OpenStudy (anonymous):

Anyone??

OpenStudy (mathmate):

Contrapositive is a statement formed by reversing the order of a conditional proposition, and negating each part. Example: Statement: If it does not rain, I will go out. Contrapositive: If I do not go out, it rains. These two statements have equivalent truth values.

OpenStudy (anonymous):

I chose the first answer, is that correct?

OpenStudy (mathmate):

That is correct.

OpenStudy (mathmate):

I suppose you mean the first answer choice.

OpenStudy (anonymous):

Thank you, can you help with one more problem?

OpenStudy (mathmate):

I'll try!

OpenStudy (anonymous):

It won't let me post it cause of the line threw the equal sign Which shows the contrapositive of the conditional statement, and if the conditional statement and the contrapositive are true or false? If |x| =(line threw) 3, then x =(line threw) 3. (Points : 1) If |x| = 3, then x = 3. The conditional statement and the contrapositive are both true. If x = 3, then |x| = 3. The conditional statement and the contrapositive are both true. If x = 3, then |x| = 3. The conditional statement is false and the contrapositive is true. If x =(line threw) 3, then |x| ≠ 3. The conditional statement and the contrapositive are both false.

OpenStudy (mathmate):

Is it like this? Which shows the contrapositive of the conditional statement, and if the conditional statement and the contrapositive are true or false? If |x| \(\ne\) 3, then x \(\ne\) 3. (Points : 1) If |x| = 3, then x = 3. The conditional statement and the contrapositive are both true. If x = 3, then |x| = 3. The conditional statement and the contrapositive are both true. If x = 3, then |x| = 3. The conditional statement is false and the contrapositive is true. If x \(\ne\) 3, then |x| \(\ne\) 3. The conditional statement and the contrapositive are both false.

OpenStudy (mathmate):

You will first need to find the truth statement of the conditional. Can you do that?

OpenStudy (mathmate):

@breathecarolina It would have been easier if you were online. But here are the hints: 1. Fist decide if the conditional is true. You can break it down to if |x| \(\ne\) 3 then x \(\ne\) 3 as if (x\(\ne\) 3 and -x \(\ne\) 3 ) then x \(\ne\) 3 2. find the contrapositive according to my previous steps (reverse order and negate). 3. choose your answer options. If you have any difficulty, tag me or simply replay to this thread.

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