Let R2 denote the set {(a, b) : a, b 2 R}.

We define the operation : R2 x R2 > R2 by (a, b) + (c, d) = (a + c + 5, 2 · b · d)

1. Show that the operation + is associative or not.

2. Show that the operation + is commutative or not.

1. + associative

2. + commutative

Can you show why?

a+c+5 : c can be associated with a or with 5

a+c is same c+a Commutative

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