Q. 15.0( 1 Vote )

# Find the component statements of the following compound statements:

(i) The sky is blue, and the grass is green.

(ii) The earth is round, or the sun is cold.

(iii) All rational numbers are real, and all real numbers are complex.

(iv) 25 is a multiple of 5 and 8.

Answer :

(i) The components of the compound statement are:

P: The sky is blue.

Q: The grass is green.

(ii) The components of the compound statement are:

P: The earth is round.

Q: The sun is cold.

(iii) The components of the compound statement are:

P: All rational number is real.

Q: All real number are complex.

(iv) The components of the compound statement are:

P: 25 is multiple of 5.

Q: 25 is multiple of 8.

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PREVIOUSCheck whether the following pair of statements is a negation of each other. Give reasons for your answer.(i) a + b = b + a is true for every real number a and b.(ii) There exist real numbers a and b for which a + b = b + a.NEXTFor each of the following statements, determine whether an inclusive “OR” o exclusive “OR” is used. Give reasons for your answer.(i) Students can take Hindi or Sanskrit as their third language.(ii) To entry a country, you need a passport or a voter registration card.(iii) A lady gives birth to a baby boy or a baby girl.(iv) To apply for a driving license, you should have a ration card or a passport.

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