(b)Show that the following statement is true by the method of contrapositive:"If `x^2` is evm ,`x in Z,then x is also even".

(ii)Check whether the following statement: is true or false by contrapositive method:"If x and Y are odd integers the xy is odd".

Write the negation of the following statements p : For every positive real number x, the number x-1 is also positive

Write the negation of the following statements. p: For evéry positive real number x , the number x-1 is also positive.

Write the contrapositive of the statement."If x is a prime number,then x is odd."

By giving a counter example, show that the following statements are not true q: The equation x^2-1=0 does not have a root lying between 0 and 2.

Examine whether the following statement are true or false {a,e} sub {x:x is a vowel in the English alphabet}

In each of the following , determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If x in A and A in B then x in B

In each of the following , determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If x in A and A cancelsub B , then x in B

In each of the following , determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. If A sub B and x notin B, then x notin A