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Mathematics, 05.04.2021 14:00 Arealbot

Let ⋆ be the binary operation on Z (set of integers) defined by a ⋆ b = 2ab + 5
Show that ⋆ is commutative. Hint: Show that a ⋆ b = b ⋆ a
Solution:

Show that ⋆ is associative. Hint: Show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
Solution:

A. Let ⋆ be the binary operation on Z (set of integers) defined by
a ⋆ b = a + b + ab
1. Show that ⋆ is commutative. Hint: Show that a ⋆ b = b ⋆ a
Solution:

2.Show that ⋆ is associative. Hint: Show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
Solution: ​

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Answers: 1

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Let ⋆ be the binary operation on Z (set of integers) defined by a ⋆ b = 2ab + 5
Show that ⋆ is...
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