SOLUTION: (x+6)(x-15)(x+2)is greater than 0 what is the solution set?

Algebra.Com
Question 330166: (x+6)(x-15)(x+2)is greater than 0 what is the solution set?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(x+6)(x-15)(x+2)is greater than 0
---
Find the boundary values: x= -6,15,-2
-----
Plot those values on a number line.
at -6,-2,15
---
Check a test value in each of the resulting
line intervals in the inequality to see where
the solutions are:
---
(x+6)(x-15)(x+2)> 0
Check x = -20: -*-*- >0 ; false so no solutions in (-inf,-15)
----
Check x = -4: +*-*- >0 ; true so solutions in (-6,-2)
-----
Check x = 0; +*-*+ >0 false so no solutions in (-2,15)
------
Check x = 20: +*+*+ >0 ; true so solutions in (15,+inf)
=========================
Solution: (-6,-2)U(15,+inf)
==============================
Stan H.
====

RELATED QUESTIONS

What is the domain for y=logbase2(3x-6)? Is it : a)x is greater than 0 b)x is greater... (answered by oscargut)
given: f(x)= x2+x-6/x2+8x+15 Write the solution set in the blank using... (answered by Fombitz)
What is the solution set of... (answered by MathLover1)
Please Help. (x+12)(x-1)(x+6)>0 Solve. what is the solution... (answered by jim_thompson5910)
Solve. What is the solution set?... (answered by Fombitz)
What is the solution set of... (answered by edjones)
What is the solution to x is greater than -2 and x is greater than or equal to... (answered by Alan3354)
A partial solution set is given. Find the complete solution set.... (answered by jim_thompson5910)
What is the solution set of {x | x < 2} {x | x ≥ 2}? all numbers less than -5 and... (answered by richard1234)