Write the set builder form of the set $ A = \{-1, 1\} $.
- A$ A = \{x : x \text{ is a real number} \} $
- B$ A = \{x : x \text{ is an integer} \} $
- C$ A = \{x : x \text{ is a root of the equation } x^{2} = 1\} $
- D$ A = \{x : x \text{ is a root of the equation } x^{2} + 1 = 0\} $
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