WAEC Further Mathematics 2021 Paper

Concept:A logical equivalence can be selected only when the actual condition, truth table, or circuit that defines $y$ is provided.Explanation:The four options represent different Boolean functions of $x$, $y$, and $z$.Option A states that $y$ is equivalent to $(\neg x \lor z)$.Option B states that $y$ is equivalent to $(\neg x \lor \neg z)$.Option C states that $y$ is equivalent to $(\neg x \land \neg z)$.Option D states that $y$ is equivalent to $(\neg x \land z)$.These expressions are not logically equivalent to one another, so each one gives a different set of truth values for $y$.Since the question gives no original statement, truth table, or circuit connecting $x$, $y$, and $z$, there is no valid basis for selecting any single option.Thus, none of the listed equivalences can be confirmed as the correct one.Answer:Cannot be determined from the given information.