Is it possible to define two binary operations, ⊕ and ⋆, on the set of real numbers R such that (R, ⊕ , ⋆) is a field (with addition ⊕ and multiplication ⋆) such that the additive identity is 5 and the multiplicative identity is 7? If yes, then define ⊕ and ⋆ accordingly. If no, then explain why not."

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A: Given that  if x=4,8,3,-2

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Q: please do 1c, 1f and 3 i will give a thumbs up

A: note :As per the instructions we will only solve part (1c), (1f), (3) of the question.As per the…

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Q: Show that [-a, b] is the additive inverse of [a, b] in Q.

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Q: efine the binary operator @ by:      aa@b=2bb=2b and □□ by:      a□b=a2+b2a□b=a2+b2

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Q: 1. Define and give an example of a binary operation.

A: Topic:- binary operation

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Q: (a) Check as to whether ordinary multiplication is a binary operation on Z or not

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