What are the solutions to the inequality (x-3) (x+5) <_ 0

(x-3) (x-5) <_0

If any individual factor on the left side of the equation is equal to 00, the entire expression will be equal to 00.

x-3=0x-3=0

x+5=0x+5=0

Set the first factor equal to 00 and solve.

x=3x=3

Set the next factor equal to 00 and solve.

x=-5x=-5

Consolidate the solutions.

x=3,-5x=3,-5

Use each root to create test intervals.

x<-5x<-5

-5
x>3x>3

Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.

x<-5x<-5 False

-5
x>3x>3 False

The solution consists of all of the true intervals.

-5
The result can be shown in multiple forms.

Inequality Form:

-5
Interval Notation:

(-5,3)