Understanding the Inequality Graph
To express the inequality where the stand equals 1 by 2 excess indicator, it is crucial to break down the components involved.
1. Definition of the Inequality
- The inequality can be expressed as: Stand ≤ 1 + (1/2) Excess Indicator.
- This indicates that the value of the stand should not exceed the sum of 1 and half of the excess indicator.
2. Components of the Inequality
- Stand: This is the baseline reference point, which, in this case, is set to 1.
- Excess Indicator: This represents an additional measure that can affect the stand.
3. Graphical Representation
- X-axis: Represents the excess indicator values.
- Y-axis: Represents the stand values.
4. Plotting the Inequality
- Draw a horizontal line at Y = 1.
- Create a line with a slope of 1/2 starting from the point (0, 1) and moving upwards to the right.
- The area below this line represents all the solutions that satisfy the inequality.
5. Interpretation of the Graph
- The area below the line indicates valid combinations of the stand and the excess indicator.
- This representation helps in visualizing constraints and feasible regions for decision-making.
6. Conclusion
- The graphical representation of this inequality provides clear insight into the relationship between the stand and the excess indicator.
- Understanding this helps in analytical scenarios, particularly in examination contexts like UPSC.
By following these steps, you can effectively graph and interpret the given inequality.