Given the statement: $$ M

Question

Given the statement: $$ M < K < I < J > H = G \leq F $$ Evaluate the following conclusions: I. $$ H = F $$ II. $$ J > G $$ Which of the conclusions is/are true?

Accepted Answer

**Solution:** 1. Analyze the given statement: $$ M < K < I < J > H = G \leq F $$ 2. Evaluate Conclusion I: $$ H = F $$ - From the statement, $$ H = G \leq F $$. - This means $$ H $$ is equal to $$ G $$ and $$ G $$ is less than or equal to $$ F $$. - Therefore, $$ H $$ can be less than or equal to $$ F $$ but not necessarily equal. - Hence, Conclusion I is **not necessarily true**. 3. Evaluate Conclusion II: $$ J > G $$ - From the statement, $$ J > H = G $$. - Since $$ H = G $$, it follows that $$ J > G $$. - Hence, Conclusion II is **definitely true**. **Answer:** Only conclusion II is true.

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