GMAT Data Sufficiency (DS) | Re: Is a ≠ b ? (1) a^2 > b^2 (2) |a| < b

For statement 1, if a = -2,b = 1,\(a^2 > b^2\) holds true
Now, substituting the values\(a^2 > b^2\) or 4 > 1.
However, if we try any value for a and b(which is equal), we will never get\(a^2 > b^2\) .
We can clearly say that this statement will always result in a YES for a≠b
Hence sufficient.

Similarly for statement 2, if a = -3,b=4 |a| < b because 3 < 4. Clearly a≠b.
But, if we try any value for
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