Question: Define the following binary operation on R: a b = a 2 b for all a, b R Which of the following properties does this

Define the following binary operation on R: a b = a 2 b for all a, b R Which of the following properties does this binary operation satisfy? If the property is satisfied, prove that the property works in general. If the property is not satisfied, explain why not. (a) associative (b) left distributive over addition (c) identity property

2. (20 points) Define the following binary operation * on R: a * b = a b for all a, be R Which of the following properties does this binary operation satisfy? If the property is satisfied, prove that the property works in general. If the property is not satisfied, explain why not. (a) associative (b) left distributive over addition (c) identity property

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