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

(i) p: It is necessary to have a password to log on to the server.

(ii) q: There is traffic jam whenever it rains.

(iii) r: You can access the website only if you pay a subscription fee.

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Solution

(i) Statement p can be written as follows.

If you log on to the server, then you have a password.

(ii) Statement q can be written as follows.

If it rains, then there is a traffic jam.

(iii) Statement r can be written as follows.

If you can access the website, then you pay a subscription fee.

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Similar questions

Write each of the statements in the form "if p then q"

(i) p : It is necessary to have a password to log on to the server.

(ii) q : There is traffic Jam whenever it rains.

(iii) r : You can access the website only if you pay a subscription fee.

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 ja whenever it rains.

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

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

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

(vi) It rains only if it is cold.

(vii) Whenever it rains it is cold.

(viii) Itnever rains when it is cold.

Re write each of the following statements in the form “p if and only if q”.

(i) p: If you watch television, then your mind is free and if your mind is free, then you watch television.

(ii) q: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

(iii) r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

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