Question

Write the converse, inverse, and contrapositive of the given conditional. then determine the truth value of the statement:

If you play the tuba, then you play an instrument.

Help please! Thank you!

Answer 1

Converse: If you play an instrument, then you play the tuba. TV:T
Inverse: If you don't play the tuba, then you don't play instrument. TV:F
Contrapositive: If you don't play instrument, the you don't play the tuba. TV:F

Answer 2

Explanation:

Given is a statement as

`If you play the tuba, then you play an instrument.`

We have to write the converse, inverse and contrapositive of the above statement.

If x, then y has converse as if y, then x, inverse as if no y then no x, contrapositive as if no x, then no y.

Using the above we find

Converse: If you play an instrument, then you play the tuba

Inverse: if you do not play the tuba, then you do not play an instrument

Contra positive: If you do not play an instrument, you do not play the tuba.