Question: Consider the following conditional statement. Only if we take the train will we be able to take the entire family. (a) Write the converse of

Consider the following conditional statement.

Only if we take the train will we be able to take the entire family.

(a) Write the converse of the given statement.

If we take the train, we will not be able to take the entire family.

If we do not take the train, we will not be able to take the entire family.

If we will not be able to take the entire family, we will not take the train.

If we will be able to take the entire family, we will take the train.

If we will be able to take the entire family, we will not take the train.

(b) Write the inverse of the given statement.

If we take the train, we will not be able to take the entire family.

If we do not take the train, we will not be able to take the entire family.

If we will not be able to take the entire family, we will not take the train.

If we will be able to take the entire family, we will take the train.

If we will be able to take the entire family, we will not take the train.

(c) write the contrapositive of the given statement.

If we take the train, we will not be able to take the entire family.

If we do not take the train, we will not be able to take the entire family.

If we will not be able to take the entire family, we will not take the train.

If we will be able to take the entire family, we will take the train.

If we will be able to take the entire family, we will not take the train.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!