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a biconditional

"All triangles have 3 sides" and "A polygon with 3 sides is a triangle" can be combined as "A polygon is a triangle if and only if it has 3 sides."

The phrase "if and only if" is often abbreviated as "iff".

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Related Questions

What is the conjunction of a conditional statement and its converse?

A biconditional is the conjunction of a conditional statement and its converse.


Is the converse of a true conditional statment is always true?

yes it is


Is this statement true or falseThe conditional is the negation of the converse.?

true


What is a true statement that combines a true conditional statement and is its true converse?

always true


What is a true statement that combines a true conditional statement and its true converse?

always true


Is the conditional is the negation of the Converse?

No, the conditional statement and its converse are not negations of each other. A conditional statement has the form "If P, then Q," while its converse is "If Q, then P." The negation of a conditional statement would be "P is true and Q is false," which is distinct from the converse. Thus, they represent different logical relationships.


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.


The converse and inverse of a conditional statement are logically equivalent?

This is not always true.


What is a conjunction of a conditional statement and its converse?

A biconditional is the conjunction of a conditional statement and its converse.


Conditional if 2x plus 3 equals 293 then x equals 145 converse if x equals 145 then 2x plus 3 equals 293?

the converse of this conditional is 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 an example of true conditional that has false converse?

An example of a true conditional with a false converse is: "If it is raining, then the ground is wet." This statement is true because rain typically causes the ground to be wet. However, the converse, "If the ground is wet, then it is raining," is false because the ground could be wet for other reasons, such as someone watering the garden.