Statements: P < O = R ≥ H > G = U > K ≥ W

Conclusions:
I. O > U
II. R > W

In these questions, the relationship between different elements is shown in the statements. The statements are followed by two conclusions. Study the conclusions based on the given statements and select the appropriate answer:

To determine the validity of the conclusions, let us analyze the given relationship statement step-by-step:

The given statement is:
$P<O=R\ge H>G=U>K\ge W$

Analysis of Conclusion I: $O>U$
Let us find the path connecting $O$ and $U$ from the statement:
$O=R\ge H>G=U$
Combining these inequalities, we get:
$O\ge H>U$
Since there is a strict inequality symbol ($>$) in the path between $O$ and $U$, the relationship simplifies to:
$O>U$
Thus, Conclusion I is true.

Analysis of Conclusion II: $R>W$
Let us find the path connecting $R$ and $W$ from the statement:
$R\ge H>G=U>K\ge W$
Combining these inequalities, we get:
$R\ge H>U>K\ge W$
Simplifying the relationship between $R$ and $W$, because of the strict inequality symbols ($>$), we get:
$R>W$
Thus, Conclusion II is also true.

Since both conclusions I and II are true, the correct option is: "If both conclusions I and II are true".