Question 1: Is this a group?  Let the binary operation  on the set F = { a, b, c, d, x, y, z } be defined by: (1) In the set F with respect to ⋄ select the identity element is a the identity element is b the identity element is c the identity element is d the identity element is x the identity element is y the identity element is z In the set F each element has an inverse at least one element does not have an inverse there is no identity, so inverses are not defined with respect to ⋄ (2) The operation ⋄ is not associative.

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A: sec(A+B)

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