Given the statements: $$G B \leq P = X \geq T

Question

Given the statements:

$$G > B \leq P = X \geq T < A \leq H = J$$

Determine which of the following conclusions are definitely true:

I. $X \geq B$

II. $T < J$

Accepted Answer

**Solution:**

1. Analyze the given chain of inequalities:

$$G > B \leq P = X \geq T < A \leq H = J$$

2. From the chain, we can deduce the following:

- Since $B \leq P$ and $P = X$, it follows that $B \leq X$, or equivalently, $X \geq B$. Thus, **Conclusion I is true**.

- Also, $T < A$ and $A \leq H = J$ imply $T < A \leq J$, so $T < J$. Hence, **Conclusion II is true**.

3. Since both conclusions I and II are definitely true based on the given statements, the correct choice is option (e).

**Answer:** (e) If both conclusions I and II are true

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