"For any three real numbers x, y, and z, x∙(y∙z)=(x∙y)∙z" is one of the condition in what binary operation?

"For any two real numbers x and y, x+y=y+x" is one of the condition in what binary operation?

"The product of any two real numbers is also a real number" is one of the condition in what binary operation?

"For any real numbers x, x+0=x." is one of the condition in what binary operation?

The binary operation "⊙" is associative if:a.(a ⊙ b) ⊙ c = a ⊙ (b ⊙ c) for all values of a, b, and cb.(a ⊙ b) ⊙ c = a ⊙ b for all values of a, b, and cc.(a ⊙ b) ⊙ c = c for all values of a, b, and cd.(a ⊙ b) ⊙ c = 1 for all values of a, b, and c

Let R be the set of real numbers other than -1, and * be the binary operation on R defined𝑏𝑦 𝑎 ∗ 𝑏 = 𝑎 + 𝑏 + 𝑎𝑏. Determine the identity element and inverse of 𝑎