d. Let p: You earn a bachelor's degree. Let q: Your income potential increase. Given the statement "If you earn a bachelor's degree, then your income potential increases." The logically equivalent negation of the conditional statement is Op \( \wedge q \) \( \bigcirc \sim p \wedge \sim q \) \( \bigcirc \sim p \wedge q \) \( \bigcirc p \wedge \sim q \)

When negating a conditional statement of the form "If p, then q" (i.e., p → q), the negation takes the form of asserting that the first part is true while the second part is false. So, the correct logical negation would express that you earn a bachelor's degree (\(p\)) but your income potential does not increase (\(\sim q\)). Hence, the negation is \(p \wedge \sim q\). This concept is crucial in various fields such as economics and education policy. Understanding how education impacts income potential helps in designing programs that encourage higher learning. If policymakers retain a clear view on these implications, they can tailor educational systems that steer students towards degrees linked with better employment opportunities, thus fostering economic growth.