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Ask us anythingIf the statement If I am hungry then I am not happy is assumed to be true is its converse If I am not happy then I must be hungry also always true?
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Is the converse of a biconditional statement always true?
Yes
The converse and inverse of a conditional statement are logically equivalent?
This is not always 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.
If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true A. No B. Yes?
No
If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true A.No B.Yes?
It’s no
If the statement If I am hungry then I am not happy is assumed to be true is its converse If I am not happy then I must be hungry also always true?
The Answer: NO
If you are hungry then you are not happy is assumed to be true is its converse If you are not happy then you must be hungry also always true?
No, the converse of a statement does not necessarily have to be true. In this case, the original statement "If you are hungry then you are not happy" does not imply that its converse "If you are not happy then you must be hungry" is always true. It is possible to be unhappy for reasons other than hunger.
Is the converse of a true if-then statement always true?
No.
What is proof by Converse?
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
Is the converse of a biconditional statement always true?
Yes
If the statement If it is cold then you wear a jacket is assumed to be true is its converse If you wear a jacket then it must be cold also always true?
No, the converse of a statement is not always true. In this case, if you wear a jacket, it does not necessarily mean that it must be cold; you may choose to wear a jacket for reasons other than cold temperature, such as fashion or personal preference.
What is a true statement that combines a true conditional statement and its true converse?
always true
What is a true statement that combines a true conditional statement and is its true converse?
always true
The converse and inverse of a conditional statement are logically equivalent?
This is not always true.
Is the converse of a true conditional statement always false?
No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.
What are some examples of a conditional statement?
A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)
If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true?
No
