Q

# State whether the following statements are true or false. Justify. If star is a commutative binary operation on N, then a star (b star c) equals (c star b) star a

Q. 12State whether the following statements are true or false. Justify.

(ii) If ∗ is a commutative binary operation on N, then $a *(b*c) =( c*b)*a$

Views

(ii) If ∗ is a commutative binary operation on N, then $a *(b*c) =( c*b)*a$

R.H.S  $=(c*b)*a$

$=(b*c)*a$         (* is commutative)

$= a*(b*c)$              (  as * is commutative)

=    L.H.S

$\therefore$          $a *(b*c) =( c*b)*a$

Hence, statement  (ii) is true.

Exams
Articles
Questions