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For all a,b in R we define a*b =|a-b|Show tha t* commutative but not associative |
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Answer» SOLUTION :(i) `FORALL` a,b in R we have `a*b=|a-b|=|-(a-b)|=|b-a|=(b*a)` `therefore`* Is commutative we have `(2*3)*4=|2-3|*4=|-1|*4=1*4=|1-4|=|-3|=3` `therefore` (2*3)*4 ne 2 * (3*4) Hence * is not associative |
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