Read the proposition and the implication shown below.

“If the medicine cures cough, it is red.”

Which statement is a contrapositive to the proposition and logically equivalent to it?

Question

Read the proposition and the implication shown below. 
  
“If the medicine cures cough, it is red.” 

Which statement is a contrapositive to the proposition and logically equivalent to it?

parthkohli · Answer

$\textbf{Statement: } if~p~then~q.$
$\textbf{Contrapositive: } if ~ not ~ q ~ then ~ not ~ p.$

parthkohli · Answer

$P = \text{medicine cures cough}$
$Q = \text{it is red}$

anonymous · Answer

Is this correct
If the medicine is not red, it does not cure cough.

parthkohli · Answer

Yes, correct.

anonymous · Answer

Not this?
If the medicine does not cure cough, it is red. 
Just making sure

parthkohli · Answer

Nope, that's not the contrapositive.

anonymous · Answer

Thank you so much!

parthkohli · Answer

You're welcome!