For the binary operation ∗ on R defined by a ∗ b = a + b − 5, the inverse of an element a is:
For the binary operation ∗ on R defined by a ∗ b = a + b − 5, the inverse of an element a is:
- A. −a
- B. 10 − a
- C. a − 10
- D. 5 − a
Answer: B) 10 − a
Explanation: Let b be inverse of a: a ∗ b = 5 (identity) → a + b − 5 = 5 → b = 10 − a.
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