Respuesta :

Answer:

-6 < x < 4

Step-by-step explanation:

|5x+5|<25

There are two solutions to an absolute value inequality, one positive and one negative.  Remember to flip the inequality on the negative

5x+5<25        and            5x+5 > -25

Subtract 5 from each side

5x+5-5<25-5        and            5x+5-5 > -25-5

5x < 20            and                            5x > -30

Divide by 5

5x/5<20/5        and                             5x/5 > -30/5

x < 4    and                                      x > -6

Putting these together since it is an and

-6 < x < 4