Verify the property: by taking:
(i)
(ii)
(iii)
(iv)
(i) We have,
x = , y = and z =
x * (y * z) = * ( * )
= ()
=
(x * y) * z = ( * ) *
= ()
=
(ii) We have,
x =0, y = and z =
x * (y * z) = 0 * ( * )
= 0
(x * y) * z = (0* ) *
= 0
(iii) We have,
x = , y = and z =
x * (y * z) = * ( * )
= ()
=
(x * y) * z = ( * ) *
= ()
=
(iv) We have,
x = , y = and z =
x * (y * z) = * ( * )
=
(x * y) * z = ( * ) *
= ()
=