Consider the binary operation ∗ on R defined by a ∗ b = a + b − 5. The identity element is:
Consider the binary operation ∗ on R defined by a ∗ b = a + b − 5. The identity element is:
- A. 0
- B. 1
- C. 5
- D. −5
Answer: C) 5
Explanation: Let e be identity: a ∗ e = a → a + e − 5 = a → e = 5. Also e ∗ a = e + a − 5 = a → e = 5.
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