Read the statement shown below.

If Amelia finishes her homework, then she will go to the park.

Which of these is logically equivalent to the given statement?

Question

Read the statement shown below.
 
If Amelia finishes her homework, then she will go to the park. 
 
Which of these is logically equivalent to the given statement?

anonymous · Answer

If Amelia goes to the park, then she did not finish her homework.
		If Amelia did not go to the park, then she did not finish her homework.
		If Amelia finishes her homework, then she cannot go to the park.
		If Amelia did not finish her homework, then she will go to the park.

anonymous · Answer

D?

parthkohli · Answer

If Amelia did not go to the park, then she did not finish her homework.

parthkohli · Answer

The inverse is always logically equivalent.

apoorvk · Answer

the statement is in the form:
P->Q
this is equivalent to 
~PorQ
now what do you think?

parthkohli · Answer

As you can see, this is the inverse.

parthkohli · Answer

Or actually, this is the contrapositive

apoorvk · Answer

yes, the inverse shall apply here. Which is the correct inverse statement of the original?

parthkohli · Answer

But, you should read and think if it makes sense.

anonymous · Answer

B then?

parthkohli · Answer

It's more like all thumbs are fingers but not all fingers are thumbs

parthkohli · Answer

B, yes.

anonymous · Answer

xD thanks

anonymous · Answer

I mean B