Geometry Regents Practice Exam

In logic, when both statements p and q are true, the first logical operation that combines them is the conjunction operation. Conjunction, often represented by the symbol "∧", evaluates whether both statements are true; in this case, it will yield true since both p and q are true.

This operation specifically focuses on the relationship between the two statements, indicating that for the conjunction to be true, both individual components must also be true. When applied to p and q, since both are affirmed to be true in this scenario, the conjunction operation reflects that truth effectively.

Other logical operations like disjunction (which checks if at least one of the statements is true), implication (which deals with conditional relationships), and the XOR operation (exclusive OR, where the result is true only when one statement is true but not both) do not prioritize the scenario of both p and q being true in the same way that conjunction does. Thus, the conjunction is the first logical operation when p and q are both true.