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Biconditi onal Stateme nts Unit 9 > Less on 6 of 11 Example 1: Examine the sentences below. Giv en: p: A pol yg on is a t riang le. q: A polygon has exactly 3 sides. Proble m: Determine the t ruth v alues of this statement: (p q) (q p) The compound statement (p q) (q p) is a conjunction of  two conditional statements. In the first conditional, p is the hypothesis and q is the conclusion; in the second conditional, q is the hypothesis and p is the conclusion. Let's look at a truth table for this compound statement. p q p q q p (p q) (q p) TT T T T TF F T F F T T F F FF T T T In the truth table above, when p and q have the same truth values, the compound statement (p q) (q p) is true. When we combine two conditional statements this way, we have a biconditional. Definition: A biconditional statement is defined to be true whenever both parts have the same truth value. The biconditional operator is denoted by a double- headed ar row . The bi co ndit io nal p q

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