I am going to try another problem to see if Im understand it...help is appreciat

Question

I am going to try another problem to see if Im understand it...help is appreciated

Determine which, if any, of the three statements are equivalent.
I) If the house is not brick, then the house is small
II) Either the house is brick or the house is small
III)Either the house is not brick or the house is not small

a)I and II are equvalent
b)I and III are equivalent
c)II, and III are equivalent
d)I, II and III are equivalent
e)None are equivalent

My answer is none are equivalent...

Plz help
My answer is

Explanation / Answer

These are all equivalent. I) if one is true, the other is true. so, let's say the house is not brick... therefore it is small 2)only one can be true, so if we choose the house to be small, the house cannot be brick 3) again, only one can be true, if we choose the house is not brick, "the house is not small" can't be true and therefore the house is small all three cases we can deduce from the statements that the house can be small.

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