Write the component statements of the following compound statementes and check whether the compound statement is true or false: (i) the square of an integer is positive or negative. (ii) to enter into a public liberary children need an identity card form the school or a letter form the school authorities. (iii)sqrt(3) is a rational or an irrational number.

Write the component statements of the following compound statementes a

1.	Write the component statements of the following compound statementes and check whether the compound statement is true or false: (i) the square of an integer is positive or negative. (ii) to enter into a public liberary children need an identity card form the school or a letter form the school authorities. (iii)sqrt(3) is a rational or an irrational number.
Answer» Solution :(i) component statements: p: the square of an integer is positive. q: the square of an integer is negative. compound statements is TRUE.(II) component statements. p: to enter into a public liberary children need an identity card from the SCHOOL. q: to enter into a public liberary children need a letter from the school authorities. compound statement is true. (iii) component statements: p : `SQRT(3)` is a rational number . q: `sqrt(3)` is a irrational number. compound statement is true.