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when the biconditional statement is separated into a conditional and its converse, which of these cannot be the converse?
If a number is nonzero, then the number is positive.
What are biconditional statements?
A biconditional statement is a compound statement consisting of a double conditional: "She's going to the party if and only if I'm going." (I'm going if she's going and vice-versa.) Thus, it's basically the conjunction of two conditionals, where the antecedent of either is the consequent of the other.
What is negation of biconditional statement?
What is negation of biconditional statement?
What is biconditional?
A biconditional is a statement wherein the truth of each item depends on the truth of the other.
What is a converse of a conditional statement?
It is the biconditional.
How does biconditional statement different from a conditional statement?
a condtional statement may be true or false but only in one direction a biconditional statement is true in both directions
Is the converse of a biconditional statement always true?
Yes
Can a good definition be written in biconditional form?
yes
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.?
If lines lie in two planes, then the lines are coplanar.
What is the conjunction of a conditional statement and its converse?
A biconditional is the conjunction of a conditional statement and its converse.
is this biconditional true or falseToday is Wednesday if and only if yesterday was Tuesday.?
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.
What does IFF mean when used in a biconditional statement?
the statement IFF means "if and only if"
What statement is formed by both exchanging and negating the hypothesis and conclusion?
Biconditional statement
