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1) A Binary operation ® is defined on the set R of real number by...

1) A Binary operation ® is defined on the set R of real number by a ® b = a 2 + b 2 – a b for all a, b Є R a) Show that ® is Abelian (Commutative)
b) Calculate ; i) 2 ® ( - 4)
ii) 2 ® [ (- 4 ) ® 1 ]
iii) [ 2 ® ( - 4 ) ] ® 1
c) Show that ® is not associative
d) Solve the equation: 4 ® x = 28
2. Give reason in the following table to justify the answer you have chosen.
3. the picture?

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