Ordered relations: A > B, B ≥ C = D < E. Which conclusions follow? I) C < A; II) D ≤ B.

Introduction / Context:
Use the given equalities and inequalities to compare C with A and D with B.

Given Data / Assumptions:

• A > B
• B ≥ C = D
• D < E

Concept / Approach:
From B ≥ C and A > B, it follows A > C, so C < A (I true). Also B ≥ D by B ≥ C = D, hence D ≤ B (II true).

Step-by-Step Solution:
C = D ≤ B < A ⇒ C < A and D ≤ B.

Verification / Alternative check:
Choose values: C=D=3, B=3 or 4, A=5. Both statements hold.

Why Other Options Are Wrong:
Both conclusions follow; not “only” or “neither”.

Common Pitfalls:
Missing that “≥” permits equality; the conclusion about ≤ is thus appropriate.

Final Answer:
If both conclusions I and II follow