Examine the given mathematical inequalities and analyze the logical relationship between the elements to answer the question that follows.
Statements:
Conclusions:
I.
II.
Correct Answer :
If only conclusion I is true
Solution :
The correct answer is If only conclusion I is true.
Given Statement:
Let's analyze each conclusion step-by-step:
Analyzing Conclusion I:
Conclusion I states:
From the given statement, the relation between and is:
Combining these relations, we get , which is equivalent to .
Therefore, Conclusion I is true.
Analyzing Conclusion II:
Conclusion II states:
From the given statement, the relationship between and is:
Since the inequality symbols between and are in opposite directions ( and ), no definite relationship can be established between and .
Therefore, Conclusion II is false.
Hence, only conclusion I is true.
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