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For I1:

let p=Socrates is human

q=Socrates is mortal

p->q=If Socrates is human then Socrates is mortal

then [(p->q)^p]->q is ture according to MODUS PONENS

So I1 is correct

 

For I2:

let p=It rains today

q=Made Easy will close

p->q=If it rains today then Made Easy will close

Therefore,

~q=Made Easy will not close today

~p=It wil not rain today

So [(p->q)^~q]->~p is ture according to MODUS TOLLENS

So I2 is also true....

Hope it helps....

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