Find the range of values of \(x\) that satisfy the inequality \(\dfrac{(x-10)^3(x+7)^5}{(x-5)^5(x-6)^4}>0.\)

[Vincen]

Find the range of values of \(x\) that satisfy the inequality \(\dfrac{(x-10)^3(x+7)^5}{(x-5)^5(x-6)^4}>0.\)

A. \( -7 < x < 5\) or \(x > 10\)
B. \(-7 < x < 5\)
C. \(x > 10\)
D. \(-6 < x < 5\) or \( x > 11\)
E. \(-7 < x < 4\) or \( x > 12\)

Answer: A

Source: e-GMAT