Q2 of 134 Page 31

State the converse and contrapositive of each of the following statements:

I go to a beach whenever it is a sunny day.

Definition of Converse: A conditional statement is not logically equivalent to its converse.


Definition of contrapositive: A conditional statement is logically equivalent to its contrapositive.


Converse: If I go to a beach, then it is a sunny day.


Contrapositive: If I do not go to a beach, then it is not a sunny day.


More from this chapter

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1

Write each of the following statements in the form “if p, then q.”

(i) You can access the website only if you pay a subscription fee.


(ii) There is traffic jam whenever it rains.


(iii) It is necessary to have a passport to log on to the server.


(iv) It is necessary to be rich in order to be happy.


(v) The game is canceled only if it is raining.


(vi) It rains only if it is cold.


(vii) Whenever it rains, it is cold.


(viii) It never rains when it is cold.

 2

State the converse and contrapositive of each of the following statements:

If it is hot outside, then you feel thirsty.

 2

State the converse and contrapositive of each of the following statements:

A positive integer is prime only if it has no divisions other than 1 and itself.

 2

State the converse and contrapositive of each of the following statements:

If you live in Delhi, then you have winter clothes.