Two conditions, one integer answer set

7 written marks

Let \(f(x)=2x^2-7x-4\) and \(g(x)=-x^2+x+6\).

1. Solve \(f(x)\le0\).

   [2]

2. Solve \(g(x)\gt 0\).

   [2]

3. List all integers \(n\) such that \(f(n)\le0\) and \(g(n)\gt 0\).

   [3]

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