Consider the inequality x3 + 4x2 - 5x < 0. Select all intervals for which the statement is true.
There may be more than one correct answer. Select all correct answers.

Interval notation is

Solutions:

Step-by-step explanation:

In this inequality, luckly we can easily factor it.

So we have

In exercises of this kind I usually do in my mind, but just to make it clear, let's do a table to organize. This table represents the x-intercepts in order to evaluate the inequality.

Consider . Here, those are the possible values for for each factor to be 0:

The first step to complete the table is the x value where the factor will be equal to zero.

                                                                       0

                                                                                                   0        

                     0

Then, just consider the signal:

   -                -                       -                   0               +                 +             +

 -             -                      -                   -               -                  0             +

 -             0                     +                   +                +               +              +

   -     0       +     0      -      0     +

When ?

It happens when     and when

The solution is

i need a picture

step-by-step explanation:

0 is its x and y coordinate