Give the converse contrapositive and inverse off the followi

Give the converse, contrapositive and inverse off the following statements:

a) it is raining only if the sky is cloudy.

b) if mary is happy, then she is not crying.

c) In order for it to rain, it is necessary that there be clouds.

d) In order for it to rain, it is sufficient that there be clouds.

Solution

a) The contrapositive: