IXL - Biconditionals (Geometry practice)

Is the following statement a biconditional?

It is Tuesday if and only if Nate has a sandwich for lunch.

yes

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Learn with an example

Is the following statement a biconditional?

If Farid is playing a dulcimer, then Juan is playing a harpsichord.

yes

A conditional statement can be written as If

then

is the hypothesis and

is the conclusion.

The converse of the conditional If

then

is If

then

The hypothesis and conclusion are switched.

A biconditional is a statement that combines a conditional and its converse. Biconditionals are frequently written in the form

if and only if

Look at the given statement:

If Farid is playing a dulcimer, then Juan is playing a harpsichord.

A biconditional says that both a conditional and its converse are true. The given statement is only a conditional, not a biconditional.

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