SOLUTION: Solve the inequality {{{ (x-4)^4(x+5)^6 / (x-2)^10 <= 0 }}}

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Question 507015: Solve the inequality
+%28x-4%29%5E4%28x%2B5%29%5E6+%2F+%28x-2%29%5E10+%3C=+0+
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The expression is always greater than or equal to 0 because each of the terms (x-4)^4, (x+5)^6, and (x-2)^10 are non-negative for real x. The only solutions occur when the LHS equals zero, in which the only solutions would be x = 4 and x = -5.