Homework Help Overview
The original poster seeks proper notation for expressing the set of all ordered pairs of real numbers located in the first and third quadrants of the Cartesian plane.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- The original poster considers a notation involving inequalities and questions whether the use of a plus operation might inadvertently include points from the second and fourth quadrants. Some participants suggest using "union" instead of "plus" for set notation. Others point out the importance of distinguishing between points in quadrants and those on the axes, raising questions about the correct use of inequalities.
Discussion Status
Participants are actively discussing the appropriate notation and clarifying the definitions of the quadrants. There is acknowledgment of potential errors in the original poster's understanding, and suggestions for alternative expressions are being explored.
Contextual Notes
There is a note regarding the distinction between points in quadrants versus those on the axes, as well as a discussion about the implications of including or excluding the axes in the notation.