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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?
No, the converse of the statement "If I am hungry then I am not happy" is "If I am not happy then I am hungry." While the original statement is assumed to be true, its converse does not necessarily follow that truth. The truth of the original statement does not guarantee the truth of its converse; there could be other reasons for not being happy that do not involve hunger.
Is this statement true or falseThe conditional is the negation of the converse.?
true
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.
True or false To begin an indirect proof you assume the converse of what you intend to prove is true?
True. In an indirect proof, also known as a proof by contradiction, you start by assuming that the opposite (or converse) of what you want to prove is true. Then, you logically derive a contradiction from that assumption, which shows that the original statement must be 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 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.
What is converse statement?
Statement: All birds lay eggs. Converse: All animals that lay eggs are birds. Statement is true but the converse statement is not true. Statement: If line A is perpendicular to line B and also to line C, then line B is parallel to line C. Converse: If line A is perpendicular to line B and line B is parallel to line C, then line A is also perpendicular to line C. Statement is true and also converse of statement is true. Statement: If a solid bar A attracts a non-magnet B, then A must be a magnet. Converse: If a magnet A attracts a solid bar B, then B must be non-magnet. Statement is true but converse is not true (oppposite poles of magnets attract).
Is the converse of a true if-then statement always true?
No.
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 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
What also is true if a conditional statement is true A its contrapositive B its converse C its inverse D none of these?
A conditional statement is true if, and only if, its contrapositive is true.
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.
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
Is this statement true or falseThe conditional is the negation of the converse.?
true
Is the converse of a true if-then statement never true?
Converses of a true if-then statement can be true sometimes. For example, you might have "If today is Friday, then tomorrow is Saturday," and "If tomorrow is Saturday, then today is Friday." Both the above conditional statement and its converse are true. However, sometimes a converse can be false, such as: "If an animal is a fish, then it can swim." and "If an animal can swim, it is a fish." The converse is not true, as some animals that can swim (such as otters) are not fish.
