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when the biconditional statement is separated into a conditional and its converse which of these cannot be the converse Biconditional: Lines r coplanar if and only if they lie in the same plane.?
Biconditional: Lines r coplanar if and only if they lie in the same plane. Conditional: If lines are coplanar then they lie in the same plane.
If lines lie in two planes, then the lines are coplanar.
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A biconditional statement combines a conditional statement with its contrapositive. T or F?
False
is this statement true or falseA biconditional statement combines a conditional statement with its contrapositive.?
false
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 the following a conjunction disjunction conditional or biconditional A number is odd if and only if it is not even?
The statement is bi-conditional. The "if and only if" should have tipped you off immediately.
Is the converse of a biconditional statement always true?
Yes
