SOLUTION: Hi, Can you help me with this math problem? Sovle the inequality.Give answer in interval notation. (x + 2)(x - 1)(x - 10) > 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, Can you help me with this math problem? Sovle the inequality.Give answer in interval notation. (x + 2)(x - 1)(x - 10) > 0      Log On


   



Question 134842: Hi,
Can you help me with this math problem?
Sovle the inequality.Give answer in interval notation.
(x + 2)(x - 1)(x - 10) > 0

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Very clearly, x cannot be 10, 1, or -2,
since those would make the left side = 0, and it must be >0
x+%3E+10 works because all 3 factors are +
-2+%3C+x+%3C+1 works also, since the factors are (+)(-)(-) = (+)
But if 1+%3C+x+%3C+10, the factors are (+)(+)(-) = (-)
If x+%3C+-2, the factors are (-)(-)(-) = (-) also.
So, the ones that work are:
x+%3E10 and
-2+%3C+x+%3C+1 answer