1.

Determine whether a**b = "LCM" {a,b} "on" {0,1,2,3,4…..,10}operations as defined by * are binary operations on the sets specified in each case. Give reasons if it is not a binary operation.

Answer»

SOLUTION :LET A `={0,1,2,…….10}`
`4,5 INA" but" 4**5 ="LCM"{4,5}`
`=20 !in A`
`:. **` is not a binary operation on A.


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