Let \(A\), \(B\), and \(C\) represent the digits in the hundreds, tens, and ones places, respectively, of a certain 3-digit whole number. Let \(D\), \(E\), and \(F\) represent the digits in the hundreds, tens, and ones places, respectively, of a different 3-digit whole number. The positive difference between the 2 numbers is greater than 100. Which of the following inequalities must be true?

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If two numbers are off by at least 100, their hundreds place must differ by at least 1. Some examples:

$$ 300, 200 $$ $$ 356, 256 $$ $$ 620, 105 $$

Since we don't which number is larger, we can take the absolute value of the difference between the hundreds place of each number.