An obverse statement is logically equivalent.
This is not always true.
This would be logically equivalent to the conditional you started with.
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
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.
Switching the hypothesis and conclusion of a conditional statement.
This is not always true.
A Contrapositive statement is logically equivalent.
The statement "If not q, then not p" is logically equivalent to "If p, then q."
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
This would be logically equivalent to the conditional you started with.
no,not every time but sometimes
Contrapositive
a conditional and its contrapositive
Conditional statements are also called "if-then" statements.One example: "If it snows, then they cancel school."The converse of that statement is "If they cancel school, then it snows."The inverse of that statement is "If it does not snow, then they do not cancel school.The contrapositive combines the two: "If they do not cancel school, then it does not snow."In mathematics:Statement: If p, then q.Converse: If q, then p.Inverse: If not p, then not q.Contrapositive: If not q, then not p.If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
The conditional statement "If A then B" is equivalent to "Not B or A" So, the inverse of "If A then B" is the inverse of "Not B or A" which is "Not not B and not A", that is "B and not A",
A biconditional is the conjunction of a conditional statement and its converse.
A biconditional is the conjunction of a conditional statement and its converse.