Based on the statements provided, determine the validity of the two conclusions that follow them.
Statements:
X > C = V ≥ B, B < N = M, Z > X
Conclusions:
I: X ≤ M
II: Z > B
Correct Answer :
If only conclusion II is correct.
Solution :
The correct option is If only conclusion II is correct.
Step-by-step Explanation:
Let us analyze the given statements and combine them into a logical chain of inequalities.
Given Statements:
1.
2.
3.
Evaluating Conclusion I:
From statement 1, we know that . From statement 2, we know that .
Combining these relations gives: .
Since the inequality signs between and are in opposite directions (opposite relationship), no definite relation can be established between and . Therefore, Conclusion I does not follow.
Evaluating Conclusion II:
From statement 3, we have .
From statement 1, we have , which clearly implies .
Combining and yields:
Thus, Conclusion II is definitely true and follows logically.
Hence, only conclusion II is correct.
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