Statements: M = J > R = L ≥ U ≤ Z; X > N ≥ R ≤ C < K
Conclusions: I. N ≥ U
II. K > M
In these questions, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Study the conclusions based on the given statements and select the appropriate answer:
Correct Answer :
If only conclusion I is true
Solution :
The correct answer is If only conclusion I is true.
Step 1: Analyze the given statements
We are given two statements containing inequalities:
1.
2.
Step 2: Evaluate Conclusion I:
To connect and , we use the common element from both statements.
From statement 2, the relationship between and is:
From statement 1, the relationship between and is:
, which simplifies to .
Combining these two paths:
Therefore, we can conclude that is true.
Step 3: Evaluate Conclusion II:
To connect and , we use the common element from both statements.
From statement 2, the relationship between and is:
, which means , so .
From statement 1, the relationship between and is:
, so (or ).
Combining the path between and through :
Since the inequality symbols between and face opposite directions ( and ), no definite relationship can be established between and .
Thus, Conclusion II is false.
Conclusion:
Only conclusion I follows.
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