Find the range of values of \(x\) such that \(\dfrac{(x+6)(3x-4)^3}{(x+2)^2}>0.\)
A. \(x > \dfrac43\)
B. \(\left(-6, \frac43\right)\)
C. \(\left(-\infty, \frac43\right) \cup (6, +\infty) - \{-2\}\)
D. \((-\infty, -6 ) \cup \left(\frac43, +\infty\right)\)
E. \((-\infty, -6) \cup \left(\frac43, +\infty\right) - \{-2\}\)
Answer: D
Source: e-GMAT
Find the range of values of \(x\) such that \(\dfrac{(x+6)(3x-4)^3}{(x+2)^2}>0.\)
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