Question

-8<6n+10<52

Answer 1

I am suppose to write each solution in interval notation and graph

Answer 2

Solving this is similar to solving any other equation, you just make your changes on both sides. For example, in trying to get \(n\) alone, we need to remove the 10. We can do that by saying:

\[-8 - 10 < 6n + 10 - 10 < 52 - 10\]
\[-18 < 6n < 42\]

So where usually in a regular equation we would make the change to both sides of the equals sign, here we do it to all three parts: before the first < sign, between the < signs, and after the second < sign.

Can you take it from there?

Answer 3

I then divide each part by 6 correct?

Answer 4

Right.

Answer 5

-3<n<7

Answer 6

is that right?

Answer 7

Yep!

Answer 8

So now, do you know how to express that in interval notation?

Answer 9

Thanks!!!! I have a ton of these problems to do! Im sure I will be back when I get stuck!

Answer 10

Sounds great!