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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.

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monique robles

Lvl 14
4y ago
Updated: 11/1/2022

If lines lie in two planes, then the lines are coplanar.

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monique robles

Lvl 14
4y ago

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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.


What the true biconditional statement that can be formed from the conditional statement If a number is divisible by 2 then it is even and its converse.?

The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.


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.

Related Questions

What is a converse of a conditional statement?

It is the biconditional.


What is the conjunction of a conditional statement and its converse?

A biconditional is the conjunction of a conditional statement and its converse.


What is a conjunction of a conditional statement and its converse?

A biconditional is the conjunction of a conditional statement and its converse.


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.


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


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


What is negation of biconditional statement?

What is negation of biconditional statement?


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 is biconditional?

A biconditional is a statement wherein the truth of each item depends on the truth of the other.


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.


Biconditional 2x-5 equals 11 then x equals 8?

The conditional statement is: "If 2x - 5 = 11, then x = 8" The biconditional statement is the statement that contains "if and only if". Some textbooks or mathematicians use this symbol ⇔. The biconditional statement of the given is: x = 8 ⇔ 2x - 5 = 11 OR x = 8 if and only if 2x - 5 = 11.