1.

A binary operation * on the set {0,1,2,3,4,5} is defined as a*b = {{:(a+b, if a+blt6),(a+b-6 if a+b ge 6):} Show that 0 is the identity for this operation and each element a has an inverse(6-a)

Answer»

SOLUTION :a*0=a+0=a ltrbvgt so 0 is the IDENTITY
`a*(6-a)=a+(6-a)-6=0 [therefore a+(6-a)ge6]`
`therefore`The inverse of a is (6-a)


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