Which of the following expressions will be definitely false if the given expression ‘G H = I ≥ V ≤ Y ≤ Z ≤T’ is definitely true?

Question

Which of the following expressions will be definitely false if the given expression ‘G > H = I ≥ V ≤ Y ≤ Z ≤T’ is definitely true?

Accepted Answer

Step-by-step reasoning:

1. The given chain is: $G > H = I \ge V \le Y \le Z \le T$.
2. From the subchain $Y \le Z \le T$ we deduce $Y \le T$, i.e. $T \ge Y$.
3. The statement $T \le Y$ would therefore force $T = Y$ (since we already have $T \ge Y$).
4. However, the chain contains a strict inequality $G > H$, so not all elements in the chain can be equal; equality throughout the tail ending at $T$ cannot be guaranteed. Thus $T$ cannot be equal to $Y$ in every case.
5. Consequently, $T \le Y$ cannot be definitely true and is definitely false given the original expression.

FINAL_ANSWER: c

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