Determine which if any of the three statements are equivalent. Give a reason for your conclusion.

Question

1) If the house is not white,then the house is not small.
2) If house is not white and the house is not small
3)It is false that the house is white or
that the house is not small.

Answer 1

None of the statements are equivalent.
#1 is an if.. then statement
#2 is an if..and set of conditions, not a statement
#3 is two statements about being white or small, neither of which are necessarily true