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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.
What else can I help you with?
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.
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.
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 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.
What is negation of biconditional statement?
What is negation of biconditional statement?
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.
A statement that describes a mathematical object and can be written as a true biconditional statement?
Definition
