Check the validity of the statements given below by the method given against it.
q `:` If n is a real number when `n gt 3` , then `n^(2) gt 9`.

Check the validity of the statements given below by the method given against it.(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).(ii) q: If n is a real number with n>3 then (by contradiction method).

Check the validity of the statements given below by the method given against it. p : The sum of an irrational number and a rational number is irrational.

Check the validity of the statement given below by contradiction method.p: THe sum of an irrastional nuber and a rational number is irrational.

Using contradiction mehtod , check the vality of the following statement : if n is a real number with n gt 3 thent n^2 gt 9

If n is a natural number gt 2 , such that z^(n) = (z+1)^(n) , then

Show by using the principle of mathematical induction that for all natural number n gt 2, 2^(n) gt 2n+1

The statement n! gt 2^(n-1), n in N is true for

Write the truth values of the following statements : (b) EE n in N such that n+5 gt 10

Let Q be a non empty subset of N. and q is a statement as' given below :-