Select the statement that is NOT equivalent to:
"It is not true that England and Africa are both countries."
A. If England is a country, then Africa is not a country.
B. England is not a country and Africa is not a country.
C. England is not a country or Africa is not a country.
D. If Africa is a country, then England is not a country.
Answer (1)
The statement that is NOT equivalent to "It is not true that England and Africa are both countries" is "England is not a country and Africa is not a country." This is incorrect because the original statement allows for the possibility of one being a country. Logical equivalencies essentially focus on the truth of one or both statements, not their absolute negation. ;
