SOLUTION: Solve. (x+15)(x-10)(x+5)> 0 Is there no solution? Is it all real numbers? Use at least one inequality or compound inequality

Question 323191: Solve.
(x+15)(x-10)(x+5)> 0
Is there no solution?
Is it all real numbers?
Use at least one inequality or compound inequality
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve.
(x+15)(x-10)(x+5)> 0
Is there no solution?
Is it all real numbers?
------------------------------
Draw and number line and plot x=-15, x= -5 , x = 10
---
That divides the number line into 4 segment.
---
Test a value from each segment to see where the solutions lie.
Substitute into : (x+15)(x-10)(x+5)> 0
If x = -20 you get -*-*- > 0 ; false so no solutions in (-inf,-10)
---
If x = -10 you get +*-*- > 0 ; true so solutions in (-15,-5)
---
If x = 0 you get: +*-*+ > 0 ; false so no solutions in (-5,10)
---
If x = 20 you get: +*+*+ > 0 ; true so solutions in (10,+inf)
=========================
Cheers,
Stan H.
RELATED QUESTIONS
Solve. (x+9)(x-16)(x+4) greater than 0. The solution set is________ (use at least one... (answered by chessace)

Solve the solution to the set (x+17)(x-18)(x+8)>0 The solution to the set is {x I __}... (answered by Mathtut)

(x+5)(x+6)(x+2)>0 Select the correct choice below, and if necessary, fill in the answer... (answered by jsmallt9)

solve the inequality; identify if the inequality has no solution, or if the inequality is (answered by checkley77)

Solve {{{ (x+18)(x-3)(x+13)>0 }}} 1) The solution set is???? "use at least one (answered by Fombitz)

Use at least one inequality or compound inequality to express the answer. For answers... (answered by stanbon)

Solve. (x+13)(x-6)(x+5)>0 Use at least one inequality or compound inequality to... (answered by solver91311)

Please help me solve this problem: (x+2)(x-8)(x+1)>0 Use at least one inequality or (answered by persian52)

solve and graph the compound inequality. x+15<-9 or x+15>3 the solution is {x|x< orx>... (answered by jim_thompson5910)