Ordered relations: Z > T, T < M, M < J. Which conclusions follow? I) T < J; II) J < Z.

Difficulty: Easy

Correct Answer: If only conclusion I follows

Explanation:

Introduction / Context:We must propagate inequalities through a chain to test conclusions.

Given Data / Assumptions:

  • Z > T
  • T < M
  • M < J

Concept / Approach:From T < M and M < J, we infer T < J. No direct relation compares J and Z from the given set.

Step-by-Step Solution: T < M and M < J ⇒ T < J (I true). Z > T does not fix J vs Z (II not provable).

Verification / Alternative check:Counterexample for II: pick values T=0, M=1, J=2, Z=1.5; then J (2) is not < Z (1.5).

Why Other Options Are Wrong:II does not necessarily hold; only I follows.

Common Pitfalls:Assuming transitivity across unrelated branches.

Final Answer:If only conclusion I follows

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