Question

I Will Fan and Medal!!!

The graph of which of the following inequalities has open circles on -8 and 2 with a line segment between them?

|x + 3| < -5
|x + 8| < 2
|x + 3| < 5

Answer 1

@texaschic101 please help me!

Answer 2

| x + 3 | < -5

x + 3 < -5 -(x + 3) < -5
x < -5 - 3 -x - 3 < -5
x < -8 -x < -5 + 3
-x < -2
x > 2
not this one

| x + 8 | < 2

x + 8 < 2 -(x + 8) < 2
x < 2 - 8 -x - 8 < 2
x < -6 -x < 2 + 8
-x < 10
x > 10
nope...not this one either

| x + 3 } < 5

x + 3 < 5 -(x + 3) < 5
x < 5 - 3 -x - 3 < 5
x < 2 -x < 5 + 3
-x < 8
x > -8
yep...its the 3rd one

Answer 3

okay, thank you so much!