Homework Help Overview
The discussion revolves around determining whether a specific binary operation, defined as x*y = 3xy, possesses an identity element. The original poster attempts to find an identity element based on the condition e*x = x*e = x.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- The original poster calculates a potential identity element and questions the discrepancy between their result and the answer key. Other participants inquire about the nature of the elements involved (integers vs. real numbers) and clarify that the identity must belong to the same set as the operands.
Discussion Status
The discussion is exploring the implications of the set in which the operation is defined, with some participants suggesting that the identity element must be an integer, while the original poster's proposed identity element is not. There is an ongoing examination of the definitions and constraints related to the operation.
Contextual Notes
Participants note that the identity element must be within the same set as the operands, which in this case are integers. The original poster's proposed identity element of 1/3 is questioned based on this requirement.