# Interval Notation for -12 >= 3x - 4 >= 8

#### JJ

##### New member
What is the interval notation of

-12 is greater than or equal to 3x - 4 is greater than or equal to 8

[-12,8]

Staff member

#### stapel

##### Super Moderator
Staff member
JJ said:
That's the part I'm confused about -- how to solve??
Since none of the lessons in the link (provided in my previous reply) helped you at all, you might need to think about hiring a tutor, because, even if we could teach lessons within this environment, I can't think of anything we could say that isn't said in those lessons. Sorry!

Eliz.

#### Subhotosh Khan

##### Super Moderator
Staff member
JJ said:
That's the part I'm confused about -- how to solve??
Please show us some work - what you have tried - steps.

#### stapel

##### Super Moderator
Staff member
JJ said:
-12 is greater than or equal to 3x - 4 is greater than or equal to 8
Note: If you take out the middle "3x - 4" part, you'll discover that the "ends" of this inequality say that -12 > 8. Since no negative is ever greater than any positive, this inequality can clearly not be solved! :shock:

Eliz.

#### skeeter

##### Senior Member
JJ said:
What is the interval notation of

-12 is greater than or equal to 3x - 4 is greater than or equal to 8

[-12,8]
as posted, your inequality has no solution (how can -12 be greater than something that is also greater than 8 ???)

did you really mean ...

-12 < 3x-4 < 8 ?

if so, add 4 to each expression in the inequality ...

-8 < 3x < 12

divide each term by 3 ...

-8/3 < x < 4

you're done.