When a conditional and its converse are true, you can combine them as a true ____.
biconditional
When a conditional statement and its converse are both true, you can combine them as a true biconditional.
When a conditional statement and its converse are both true, you can combine them as a true biconditional statement. A biconditional statement is a statement in the form "if and only if" and represents a "two-way" implication. It asserts that both the conditional statement and its converse are true.
To determine whether a conditional statement and its converse are both true, you need to first understand what a conditional statement and its converse are. A conditional statement, commonly written in the form "if p, then q," is a statement that asserts that if a certain condition (p) is true, then a consequence (q) will also be true. Its converse is obtained by flipping the "if" and "then" parts, resulting in the statement "if q, then p."
To determine if both the conditional statement and its converse are true, you would need to have evidence or logical reasoning to support the truth of both statements. This could involve conducting experiments, observing patterns, or using deductive reasoning based on established principles or facts.
Once you have determined that both the conditional statement and its converse are true, you can combine them to form a biconditional statement. The biconditional statement is usually written as "p if and only if q" or "p ↔️ q," signifying that p is true if and only if q is true.