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No, because the reverse statement may not result in a true statement.
(A) If x is an integer then x*x is rational.
(B) if x*x is rational then x is an integer.
(B) is utter nonsense. x can be any rational number of even a square root of a rational number, for example, sqrt(2/3), and x*x will be rational.
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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
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.
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?
The conjunction of a conditional statement and its converse is known as a biconditional statement. It states that the original statement and its converse are both true.
What is a converse of a conditional statement?
It is the biconditional.
What is a conjunction of a conditional statement and its converse?
A biconditional is the conjunction of a conditional statement and its converse.
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
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 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 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.
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.
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 negation of biconditional statement?
What is negation of biconditional statement?
A statement that describes a mathematical object and can be written as a true biconditional statement?
Definition
