The identity element for the operation a ∗ b = a + b + 2 on R is:
The identity element for the operation a ∗ b = a + b + 2 on R is:
- A. 0
- B. 1
- C. −2
- D. 2
Answer: C) −2
Explanation: a ∗ e = a + e + 2 = a → e = −2. Also e ∗ a = −2 + a + 2 = a. So identity is −2.
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