Show that the statement "For any real numbers a and b, `a^(2) = b^(2)` implies that `a` = `b` " is not true by giving a counter example.

Show that the statement 'For any real numbers a and b, a^(2)=b^(2) implies that a = b is not true' by giving counter example.

Show that the statement For any real numbers a\ a n d\ b ,\ a^2=b^2 implies that a=b is not true by giving a counter example

For all real number a, b and c such that a > b and c < 0. Which of the following inequalities must be true?

For any set A and B, show that (A-B)=(AnnB')

Show that the relation R in the set R of real numbers, defined as R={(a ,b): alt=b^2} is neither reflexive nor symmetric nor transitive.

Show that the relations R on the set R of all real numbers, defined as R={(a ,\ b): alt=b^2} is neither reflexive nor symmetric nor transitive.

If A and B are any two sets, prove that P(A) = P(B) implies A = B.

Show that the relation/R in the set R of real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.

For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-3a c)=15 b(3a+c)dot Then :

Show that the relation R in the set of real numbers, defined as R="{"(a , b")": alt=b^2}\ is neither reflexive, nor symmetric, nor transitive.