Write the component statements of the following compound statements and check whether the compound statement is true or false: (i) the perimeter of a right-angled triangle and an equilateral triangle is equal to the sum of three sides. (ii) 72 is a multiple of 18 and 24. (iii) 0 is smaller than every positive integer and every negative integer. (iv) a line is straight and extends indefinitely in both directions.

Write the component statements of the following compound statements an

1.	Write the component statements of the following compound statements and check whether the compound statement is true or false: (i) the perimeter of a right-angled triangle and an equilateral triangle is equal to the sum of three sides. (ii) 72 is a multiple of 18 and 24. (iii) 0 is smaller than every positive integer and every negative integer. (iv) a line is straight and extends indefinitely in both directions.
Answer» Solution :(i) component statements L: p: the perimeter of a right -angled triangle is equal to the sum of three sides. q : the perimeter of an equilateral triangle is equal to the sum of three sides . compound statements is true. (ii) component statements : p: 72 is a multiple of 18. q: 72 is a multiple of 24. compound statement is true. (iii)compound statements : p: 0 is smaller than EVERY positive integer. q: 0 is smaller than every negative integer. compound statement is false. (iv) component statements : p: a LINE is straight. q: a line EXTENDS indefinitely in both dirction .