SOLUTION: (x+20)(x-7)(x+4)>0 solution set?

Algebra.Com
Question 519414: (x+20)(x-7)(x+4)>0
solution set?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(x+20)(x-7)(x+4) > 0
-----
Draw a number line and plot x = -20, x = -4, and x = 7
---
Test a value from each of the 4 intervals in the inequality:
(x+20)(x+4)(x-7) > 0
Test x = -30 ; -*-*- > 0 ; false
---
Test x = -10 ; +*-*- > 0 ; true, so solutions in (-20,-4)
---
Test x = 0 ; +*-*+ > 0 ; false
----
Test 10 ; +*+*+ > 0 ; true, so solutions in (7,+oo)
======================
Solution: (-20,-4)U(7,+oo)
=================================
Cheers,
Stan H.
==============

RELATED QUESTIONS

Solve (x+20)(x-19)(x+19)>0 The solution set is... (answered by lwsshak3)
The solve and graph the solution set (x +2)(x-20)(x+1)>0... (answered by jim_thompson5910,lwsshak3)
solve rational inequality. write the solution set in interval notation.... (answered by ewatrrr)
Solve: (x+10)(x-2)(x+7)>0 The solution set is {x...... Thank... (answered by jsmallt9)
What is the solution set of |x – 4| + 7 = 4? (answered by Alan3354)
What is the solution set of |x – 4| + 7 =... (answered by Gogonati)
Solve (x+20)(x-5)(x+1)>0 a) the solution set is {x⃓ _?_} b) the... (answered by solver91311)
Solve (x +1)(x -4) < 0 and express the solution set in set... (answered by lwsshak3)
what is the solution set of all angles in [0,2pi) 4 cos^2x-3=0 5 sec^2x-20=0 (answered by stanbon)