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Q: What is an example of a true conditional statement with a false converse?
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What is a non mathematical statement that has a false conditional statement with a converse that is true?

Well, honey, let me break it down for you. How about this gem: "If it's raining, then the grass is wet." The conditional statement is false because the grass could be wet for other reasons. But flip it around and you've got yourself a true converse: "If the grass is wet, then it's raining." Just like that, a little logic twist for your day.


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.


When you change the truth value of a given conditional statement?

by switching the truth values of the hypothesis and conclusion, it is called the contrapositive of the original statement. The contrapositive of a true conditional statement will also be true, while the contrapositive of a false conditional statement will also be false.


is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?

false


A biconditional statement combines a conditional statement with its contrapositive. T or F?

False