For the questions below, assume the statements provided are true and determine which of the conclusions logically follow. Mark your answer accordingly.

Statement:
P > S ≥ Z, M ≤ N < Z, N = W
Conclusions:
I. S > M
II. W ≤ P

The correct option is Only conclusion I holds true.

Step-by-step Explanation:

Let us analyze the given inequality statements:

$P>S\ge Z$

$M\le N<Z$

$N=W$

By combining these statements, we can establish the full relationship chain between all variables:

$P>S\ge Z>N=W\ge M$

Now, let us evaluate each conclusion one by one based on the combined chain:

Conclusion I: S > M

From our relationship chain, we have:

$S\ge Z>N\ge M$

Since there is a strict inequality sign ($>$) between $Z$ and $N$, the overall relationship between $S$ and $M$ is strictly greater than:

$S>M$

Therefore, Conclusion I logically follows.

Conclusion II: W ≤ P

From our relationship chain, we have:

$P>S\ge Z>N=W$

Tracing from $P$ to $W$, all inequality signs point in the same direction, showing that $P$ is strictly greater than $W$:

$P>W$ (or $W<P$)

Conclusion II states that $W\le P$, which includes the possibility of equality ($W=P$). However, we know strictly that $W$ cannot be equal to $P$. Hence, $W\le P$ does not strictly hold true.

Therefore, Conclusion II does not follow.

Hence, only conclusion I holds true.