Question

Which of the following is a counterexample to the statement "All mammals have legs"?
A. Whales are mammals that do not have legs
B. Cats are mammals that have legs
C. People only have two legs
D. Chairs are not mammals and have legs

Answer 1

If the animal is a mammal, then it has legs.

A counterexample would be a mammal that had no legs.

Answer 2

Which option do you think it is?

Answer 3

I honestly wouldn't know. I don't fully understand what a counterexample is.

Answer 4

counter example is the opposite isn't it Directrix ?

Answer 5

The counterexample makes the hypothesis true: If the animal is a mammal,

So, look in your options for an animal that is a mammal.

Answer 6

The counterexample makes the conclusion false.

Conclusion: then it has legs

So, look in your options for the mammal animal that has zero legs.

I think I see it.

Note: Do not confuse counterexample with contrapositive. It's easy to get confused.

Answer 7

@Maryokkk And, the answer is ?

Answer 8

Erm...A?

Answer 9

@texaschic101 >counter example is the opposite

I'm not sure what you mean by opposite so I don't know how to answer.

Answer 10

counter example is what disproves the statement ?

Answer 11

I agree @Maryokkk if the whale is a mammal. I think it is.

Answer 12

>>counter example is what disproves the statement ? Yes, make it a lie.

Answer 13

Thank you, and thanks for clearing the whole counter example thing up for me as well.

Answer 14

yes...thanks directrix

Answer 15

Okay. It was a pleasure. Thanks for the medal.

Answer 16

One more question if you don't mind?

Answer 17

What is it? I'll try to help.

Answer 18

Determine the converse of the conditional statement: If my mom has to work, then I babysit my little sister.
A. If my mom does not have to work, I do not have to babysit
B. If I have to babysit, then my mom has work
C. If I have to babysit, then my mom does not have to work
D. If I don't have to babysit, then my mom has to work
This would be C yes?

Answer 19

wrong...not D

statement = if p then q
converse = if q then p

Answer 20

oops...not C

Answer 21

If my mom has to work, then I babysit my little sister.

p: f my mom has to work

q: n I babysit my little sister.


p --> q above

The converse of p implies q is q implies p.

So, flip the hypothesis and the conclusion.

-------------

If I babysit, then ...... @Maryokkk

Answer 22

So, which option is correct?

Answer 23

So it would be D?

Answer 24

read this Maryokkk....
http://www.purplemath.com/modules/absineq.htm

yes...its D

Answer 25

D is not correct. The "chic" led you astray.

Here's something to help the two of you.

Answer 26

wait...no its not D, it is B

Answer 27

the " chic " ...lol

Answer 28

So I wouldn't change it..I would just...sort of flip it?

Answer 29

yes..flip it

Answer 30

Lmfao thanks "Chic".

Answer 31

If I had a dollar for every mistake I made, I would be rich.......thats sad

Answer 32

If you were rich, it would not be sad. That is the converse of the above ^^^ statement. :)

Answer 33

lol.....