If A and B are true, X and Y are false , then the truth value of the compound Statement [ (A ? B) .( Y. X)]
A)false
B)true
C)cannot be determined
D)none of these

Question

Quizplus · Accepted Answer

Given A and B are true, and X and Y are false, the compound statement [(A ? B) . (Y . X)] simplifies as follows: - The symbol "?" could represent any logical connector, but since A and B are both true, the part "(A ? B)" will also be true regardless of the specific connector (AND, OR, etc.), assuming standard logical operations. - The part "(Y . X)" involves both Y and X, which are false. The "." likely represents the AND operation, so "(Y . X)" evaluates to false because both operands are false. - The overall expression then becomes something like "true AND false", which is false. Therefore, the compound statement is false.

If a and B Are True, X and Y Are