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If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
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 falseThe conditional is the negation of the converse.?
true
Can a statement be true or false?
Yes, a statement can be true or false but without knowing what the statement is no-one can possibly say whether it is true or it is false.
Is the converse of a biconditional statement always true?
Yes
