Question

-1<9+n<17 and graph the answer after

Answer 1

We get
`\mathbf{n>-10\:\:and\:\:n<8}`

Or we can write as:
`\mathbf{-10<n<8}`

The graph is shown is figure attached below:

Explanation:

We need to solve the inequality
`-1<9+n<17` and graph the answer.

Solving the inequality

`-1<9+n<17`

We know that if a<u<b then we can write a<u and u<b

So, we can write

`-1<9+n \:and\: 9+n<17`

Solving these equations and finding values of n

`-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8`

So, we get
`\mathbf{n>-10\:\:and\:\:n<8}`

We can write it as: -10< n and n<8

Overlapping we get:
`\mathbf{-10<n<8}`

The graph is shown is figure attached below: