(a)Check the validity of the statement given below by contradiction method."The sum of an irrational number and a rational number is irrational".

(a)Check the validity of the statement given below by contradiction method.'P:The sum of an irrational number and a rational number is irrational".

Check the validity of the statement given below by contradiction method. i) p: The sum of an irrational number and a rational number is irrational.

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

(b)Check the validity of the statement given below by the method of contradiction(ii)q:If n is a real number with n>3 ,then n^2>9 .

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

Verify by method of contradiction p:sqrt2 is irrational.

Prove by the method of contradiction : sqrt7 is irrational.”

(ii)By method of contradiction prove that sqrt 5 is irrational.

(ii)By method of contradiction prove that sqrt 5 is irrational.

Are the following pairs of statements negations of each other The number x is a rational number The number x is an irrational number