Question

Anyone know anything about contrapositives? I'm sure it's something really simple, but I just don't think I'm getting it. :p

Answer 1

can u fan me plz Whitemonsterbunny17

Answer 2

if it is tuesday, i eat a hamburger
if i to not eat a hamburger, then it is not tuesday

Answer 3

if P then Q
if not Q then not P

Answer 4

contrapositive is logically same of a given statement.

statement : if parrot, then it is a bird.

contrapositive : if it is not a bird, then it is not a parrot

Answer 5

Oh, so if the sentence given is "If I can sing, then you can dance", the contraposative would be "If I can not sing, then you can not dance:?

Answer 6

no

Answer 7

```
statement : if P then Q
contrapositive : if not Q then not P
```

Answer 8

notice you're swapping P and Q

Answer 9

if i can sing
if P
then you can dance
the Q

Answer 10

if not Q
if you cannot dance
then not P
then I cannot sing

Answer 11

Ohhhhh okay, so would it be "If you can not dance, then I can not sing"?

Answer 12

that looks good!

Answer 13

plz fan me

Answer 14

yes it would

Answer 15

@Noand-DeWitte
Please do not spam my post.
Thanks.

Answer 16

k

Answer 17

Thank you so much @satellite73 and @ganeshie8 !!
You explain it better than my Geometry teacher did! \(\Large\bf\color{magenta}{\heartsuit}\) ^.^

Answer 18

if you're formula oriented, below helps remembering these :

```
statement : if P, then Q
inverse : if not P, then not Q
converse : if Q, then P
contrapositive : if not Q, then not P
```

yw :)

Answer 19

thank you for the \[\Large\bf\color{red}{\heartsuit}\]

Answer 20

Cool, thanks! @ganeshie8
And you're welcome! @satellite73