**Statements:** U B = G ≥ S ≥ L; X

Question

**Statements:** U > B = G ≥ S ≥ L; X < B ≤ K < J **Conclusions:** I. U > J II. K ≥ L Based on the above statements, determine which conclusion(s) is/are true.

Accepted Answer

**Solution:** 1. Analyze the first statement: - U > B = G ≥ S ≥ L This means U is greater than B, B equals G, and both B and G are greater than or equal to S, which is greater than or equal to L. 2. Analyze the second statement: - X < B ≤ K < J This means X is less than B, B is less than or equal to K, and K is less than J. 3. Check conclusion I: U > J - From the statements, U > B and J > K ≥ B, so J is greater than or equal to K, which is greater than or equal to B. - Since U > B and J > K ≥ B, the relative order between U and J is not clearly established. U could be greater or less than J. - Therefore, conclusion I is **not necessarily true**. 4. Check conclusion II: K ≥ L - From the first statement, L ≤ S ≤ G = B ≤ K (from second statement). - Since K ≥ B and B ≥ L (through the chain), it follows that K ≥ L. - Hence, conclusion II is **true**. **Answer:** (b) If only conclusion II is true

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