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

[JJ]

What is the interval notation of

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

Is the answer

[-12,8]

 

[stapel]

Before putting the solution into interval notation, wouldn't one first need to solve the linear inequality...? :shock:

Eliz.

 

[JJ]

Before putting the solution into interval notation, wouldn't one first need to solve the linear inequality...?

That's the part I'm confused about -- how to solve??

 

[stapel]

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.

 

[Deleted member 4993]

That's the part I'm confused about -- how to solve??

Please show us some work - what you have tried - steps.

That way we know where to begin to help you.

 

[stapel]

-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]

What is the interval notation of

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

Is the answer

[-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.