Assuming the given statements to be true, determine which of the two conclusions, I and II, definitely follow from them.

Given relation:
$G>B\le P=X\ge T<A\le H=J$
Conclusions:
I. $X\ge B$
II. $T<J$

Correct Answer: Both conclusions I and II follow

Let us analyze the given relation step-by-step to evaluate the validity of each conclusion.

Given Statement:

$G>B\le P=X\ge T<A\le H=J$

Evaluating Conclusion I: $X\ge B$

From the given statement, let us isolate the path between $B$ and $X$:

$B\le P=X$

Since $P=X$, we can substitute $X$ in place of $P$:

$B\le X$

Reversing the inequality, we get $X\ge B$. Therefore, Conclusion I definitely follows.

Evaluating Conclusion II: $T<J$

From the given statement, let us isolate the path between $T$ and $J$:

$T<A\le H=J$

Since all inequality signs ($<$ and $\le$) point in the same direction towards $J$ with at least one strict inequality sign ($<$), the combined relationship between $T$ and $J$ simplifies directly to:

$T<J$

Therefore, Conclusion II definitely follows.

Since both conclusions I and II are correct, the option "Both conclusions I and II follow" is the correct choice.