Let-be-a-binary-operation-on-Z-defined-by-x-y-1-2-x-y-1-1-2-1-1-x-y-Is-associative-

Question Number 4775 by Yozzii last updated on 08/Mar/16

L e t * b e a b i n a r y o p e r a t i o n o n Z

d e f i n e d b y

x * y = \frac{1}{2} (x + y + 1 + \frac{1}{2} (1 + {(- 1)}^{x + y})) .

I s * a s s o c i a t i v e ?

Commented by prakash jain last updated on 09/Mar/16

x + y = 2 i

y + z = 2 n + 1

x = 2

y = 6

z = 3

y * z = \frac{1}{2} (10) = 5

x * y = \frac{1}{2} (2 + 6 + 1 + 1) = 5

x * (y * z) = 2 * 5 = 4

(x * y) * z = 5 * 3 = 5

Commented by Yozzii last updated on 09/Mar/16

T h a n k s .

Facebook Tweet Pin