Using the words ''necessary and sufficient'' rewrite the statement ''The integer n is odd if and only if `n^(2)` is odd''. Also check whether the statement is true.

Check whether''Or'' used in the following compound statement is exclusive or inclusive? Write the component statements of the compound statements and use them to check whether the compound statement is true or not. Justify your answer. t: you are wet when it rains or you are in a river.

Make 2 more sentences and check whether they are statements or not? Give reasons.

Let P(n) denote the statement that n^(2) +n is odd. It is seen that P(n) rArr P(n+1), P(n) is true for all

Write the negation of the following statements and check whether the resulting statements are true, Australia is a continent.

Write the negation of the following statements and check whether the resulting statements are true, The sum of 3 and 4 is 9.

"7 is odd 0r 7 is prime". Write the statement using the appropriate connective

Find the component statements of the following and check whether they are true or not. 24 is a multiple of 2, 4 and 8.

If P(n) be the statement n (n+1)+1 is an integer, then which of the following is even

Find the component statements of the following and check whether they are true or not. All prime numbers are either even or odd.

State whether the following statements are true or false. Justify your answer (2)/(3) in I where 'I' is the set of integers.