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".
true
This is not always true.
This problem is a copyright violation of the curriculum used by Connections Academy, an online charter school. Students who use this problem and its answers on this website are cheating on their math test. Please remove this problem from your website.
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.
This would be logically equivalent to the conditional you started with.
A biconditional is the conjunction of a conditional statement and its converse.
yes it is
true
always true
always true
A conditional statement is true if, and only if, its contrapositive is true.
This is not always true.
A biconditional is the conjunction of a conditional statement and its converse.
the converse of this conditional is true
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.
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
The converse of this conditional statement would be: if I am in the south, then I am in Mississippi. It essentially swaps the hypothesis and conclusion of the original conditional statement.