In Which of the following expressions does the expression „I≥...
Understanding the Relationships
To determine why option C is correct, we need to analyze the relationships in the provided expressions.
Option A: K ≥ I ≤ R = P < s="" ≤="" />
- Here, I is less than or equal to R, but there are no direct comparisons that guarantee I is greater than or equal to D.
Option B: U ≥ D ≥ M = F ≤ A ≥ I
- This indicates D is greater than or equal to I, but doesn’t ensure that I is greater than or equal to D.
Option C: I ≥ C ≥ Q ≥ B = N ≥ D
- In this expression, we can see:
- I is greater than or equal to C
- C is greater than or equal to Q
- Q is greater than or equal to B
- B is equal to N
- N is greater than or equal to D
From this chain of inequalities, we can conclude that I is indeed greater than or equal to D.
Option D: G ≥ I = A < b="" ≤="" s="" ≤="" />
- Here, although I is equal to A, which is less than B, there is no assurance that I is greater than or equal to D.
Option E: D ≥ E = G ≥ W = Y ≥ I
- In this case, I is less than or equal to Y, which is not a guarantee for I being greater than or equal to D.
Conclusion
Only option C provides a clear path showing that I is greater than or equal to D. The careful chain of inequalities establishes this relationship definitively. Thus, option C is the correct answer.