Question

Hi I need help with this question please and thank you

Answer 1

We need to solve the next inequality:

`-9<4x+3<27`

Then, we can divide into two inequañities

`-9<4x+3`

We can rewrite the expression as:

`4x+3>-9`

Subtract both sides 3

`4x+3-3>-9-3`

`4x>-12`

Now, divide both sides by 4:

`(4x)/(4)>(-12)/(4)`
`x<-3`

Also, the other inequality:

`4x+3<27`

Subtract both sides by 3

`4x+3-3<27-3`
`4x<24`

Then, divide both sides by 4:

`(4x)/(4)<(24)/(4)`
`x<6`

Therefore, we have the next inequalities for x:

`x>-3`

and

`x>6`

Hence, the answer for x is:

[tex]-3