Solve `x^(2)-x-2 gt 0`.

Explanation

To solve the inequality \( x^2 - x - 2 > 0 \), we will follow these steps:

### Step 1: Factor the quadratic expression
We start with the expression \( x^2 - x - 2 \). We need to factor it.

To factor, we look for two numbers that multiply to \(-2\) (the constant term) and add to \(-1\) (the coefficient of \(x\)). The numbers \(-2\) and \(1\) satisfy these conditions.

Thus, we can write:
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