Question: 55 - 60. Problem 2. A binary operation * is defined on the set S = {0, 1, 2, 3, 4} by a * b

55 - 60. Problem 2. A binary operation * is defined on the set S = {0, 1, 2, 3, 4} by a * b

= a + ab + b. Complete the table below and then answer/solve the following questions/problems.

55. Is it closed under the operation *? Explain.

56. Evaluate (1 * 3) * (2 * 4).

57. Is (2 * 3) = ( 3 * 2)? Explain or write your solution.

58. Is 2 * (3 * 4) equal to (2 * 3) * 4? Explain or write your solution.

59. Find the identity element, if any.

60. Find the inverse, if any.

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