Find the range of values of \(x\) such that \(\dfrac{(x-3)(x-4)}{(x+1)(x+2)}>0\)

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Find the range of values of \(x\) such that \(\dfrac{(x-3)(x-4)}{(x+1)(x+2)}>0\)


A. \(x > 4\)
B. \((-1 ,4)\)
C. \((-2, -1) \cup (3,4)\)
D. \((-1,3) \cup (4, +\infty)\)
E. \((-\infty, -2) \cup (-1, 3) \cup (4, +\infty)\)

Answer: E

Source: e-GMAT