Let * be defined on integers Z by a * b = a + b − 5. The identity element e is:
Let * be defined on integers Z by a * b = a + b − 5. The identity element e is:
- A. 0
- B. 5
- C. −5
- D. 1
Answer: B) 5
Explanation: We need a * e = a, which gives a + e − 5 = a. Solving for e, we get e − 5 = 0, so e = 5.
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