An imaginary error?

Algebra Level 3

The following is my attempt at proving that 1<11 < -1. In which of these steps did I first make a mistake by using flawed logic?

Step 1: Let i=1i = \sqrt{-1} , then i2=1i^2 = -1 and i4=(i2)2=(1)2=1i^4 = \big(i^2\big)^2 = (-1)^2 = 1.

Step 2: Hence, we have i2<i4i^2 < i^4 .

Step 3: We divide both sides by ii to get i<i3i < i^3.

Step 4: We divide both sides by ii again to get 1<i21 < i^2 or, equivalently, 1<11 < -1 .

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