For the questions below, assume the statements provided are true and determine which of the conclusions logically follow. Mark your answer accordingly.
Statement:
P > S ≥ Z, M ≤ N < Z, N = W
Conclusions:
I. S > M
II. W ≤ P
Correct Answer :
Only conclusion I holds true
Solution :
The correct answer is Only conclusion I holds true.
Step-by-step breakdown:
1. Combine the given statements:
We are given the following inequality statements:
Combining these statements relative to :
Also, since , we can substitute for in the chain:
2. Evaluate Conclusion I:
From our combined relationship chain:
Since there is a strict inequality sign () between and , the relationship between and strictly becomes:
Therefore, Conclusion I logically follows.
3. Evaluate Conclusion II:
From our combined relationship chain:
This gives a strict inequality relationship:
or
Since , it means can never be equal to . Therefore, the statement is false.
Therefore, Conclusion II does not follow.
Hence, only conclusion I holds true.
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