Exercise 31.3

Write the component statements of the following compound statements and check whether the compound statement is true or false: (i) Square of an integer is positive or negative. (ii) x = 2 and x = 3 are the roots of the equation 3×2 – x – 10 = 0.

Answers: (i) The components of the compound statement are: P: Square of an integer is positive. Q: Square of an integer is negative. Both P and Q are true. The compound statement is True. (ii) The...

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Write the component statements of the following compound statements and check whether the compound statement is true or false: (i) To enter into a public library children need an identification card from the school or a letter from the school authorities. (ii) All rational numbers are real and all real numbers are not complex.

Answers: (i) The components of the compound statement are: P: To get into a public library children need an identity card. Q: To get into a public library children need a letter from the school...

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For each of the following statements, determine whether an inclusive “OR” o exclusive “OR” is used. Give reasons for your answer. (i) A lady gives birth to a baby boy or a baby girl. (ii) To apply for a driving license, you should have a ration card or a passport.

Answers: (i) “A lady gives birth to a baby boy or a baby girl.” An exclusive “OR” is used because a lady cannot give birth to a baby who is both a boy and a girl. (ii) “To apply for a driving...

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For 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.

Answers: (i) “Students can take Hindi or Sanskrit as their third language.” An exclusive “OR” is used because a student cannot take both Hindi and Sanskrit as the third language. (ii) “To entry a...

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