Final answer:
Statements b and c from the provided scenarios are conditional statements, as they both contain an antecedent and consequent, forming a cause-and-effect relationship expressed through 'if-then' formulations.
Step-by-step explanation:
In logic, a conditional statement is often expressed as an if-then statement. In the scenarios provided, b) I plan to go to college if my grades are good enough. and c) If my grades are very good, then I will select a college that offers scholarships. are conditional statements. The statement b) suggests that going to college is contingent upon having good grades, creating a cause-and-effect relationship. Similarly, statement c) is a direct if-then statement indicating that the selection of a college offering scholarships is a consequence of having very good grades.
conditional statements
are important to accurately describe the world or construct a theory and consist of an
antecedent
(the 'if' part) and a
consequent
(the 'then' part). In the context of necessary and sufficient conditions, the consequent (effect) is necessary for the antecedent (cause), and the antecedent is sufficient to ensure the consequent.