Question: Letx /y = xy + x+ ybe a binary operation in the set of integers.(5 points) What is 4 / - 2 ? Is x

  1. Letx /y = xy + x+ ybe a binary operation in the set of integers.(5 points)

  1. What is 4 / - 2 ?

  1. Is x / y commutative?

  1. Is x / y associative?

4. Consider the following Cayley Table defined by the binary operation -.

- w x y z
w z z x w
x w y z x
y z w x y
z w x y z

  1. Is - commutative? Explain. (2 points)

Answer:

  1. What is the identity element for -? Explain. (2 points)

Answer:

  1. Is - associative for: w - (y - x) = (w - y) - x? Explain. (2 points)

Answer:

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