Given the following statements, identify in which option both conditions $K \geq O$ and $L Z$ are definitely true:

Question

Given the following statements, identify in which option both conditions $K \geq O$ and $L > Z$ are definitely true:

Accepted Answer

**Solution:** 1. We need to verify for each option whether both $K \geq O$ and $L > Z$ hold true based on the given inequalities. 2. Analyze option (b): - Given: $N < O \leq Z > T$ and $K \geq Z < P \leq L$ - From $N < O \leq Z$, it implies $O \leq Z$ and $N < O$. - Since $K \geq Z$ and $O \leq Z$, it follows that $K \geq O$ (because $K \geq Z \geq O$). - Also, $P \leq L$ and $Z < P$ imply $Z < P \leq L$, so $L > Z$ is true. 3. Check other options briefly: - (a) $L = P$ so $L > Z$ is not guaranteed. - (c) $L < P$ and $P < Z$ contradicts $L > Z$. - (d) $K < Z$ contradicts $K \geq O$ since $O \geq Z$. **Answer:** (b)

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