Q2 of 134 Page 31

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

If it is hot outside, then you feel thirsty.

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 you feel thirsty, then it is hot outside.


Contrapositive: If you do not feel thirsty, then it is not hot outside.


More from this chapter

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2

Negate each of the following statements:

(i) All the students complete their homework.


(ii) There exists a number which is equal to its square.

 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:

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

 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.