Bi Conditional Statement

Bi Conditional Statement A bi-conditional statement is a logical statement which is formed by the combination of two conditional statements. A bi-conditional statement is formed when a conditional statement and its converse are put together and are checked accordingly whether the sentence is true or false. Example 1: Given ifAnna is the mother of Regan, and then Regan is the daughter of Anna. Explain whether the statement is bi-conditional or not. Given statement: If Anna is the mother of Regan, then Regan is the daughter of Anna. We can rewrite the above statement also as: If Regan is the daughter of Anna, then Anna is the mother of Regan. Now let, Statement p = Anna is the mother of Regan. Statement q = Regan is the daughter of Anna. Then we can say that p == q is the same thing as q == p. Hence, we can say that Anna is the mother of Regan if and only if Regan is the daughter of Anna. Hence p == q means that the statement is bi-conditional. Example 2: Given if 4 + 5 = 9, then 9 can be written as the sum of 4 and 5. Is this a bi-conditional statement? Statement p: 4 + 5 = 9 Statement q: 9 = Sum of 4 and 5 Here we can say that, 4 + 5 = 9 if and only if 9 can be written as the sum of 4 and 5. Hence p == qmeans that the statement is bi-conditional.