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Earn +20 ptsQ: What is biconditional statement?
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Is The converse of a biconditional statement is always true?
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.
is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?
false
Is the converse of a biconditional statement always true?
Yes
A statement that describes a mathematical object and can be written as a true biconditional statement?
Definition
A biconditional statement combines a conditional statement with its contrapositive. T or F?
False
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