Question

-np-90<30 solve for n

Answer 1

`-np-90\ \textless \ 30\\\\-np -90 +90\ \textless \ 30 + 90\\\\-np \ \textless \ 120\\\\(-np)/(-p)\ \textless \ (120)/(-p)\\\\\boxed{\bf{n \ \textgreater \ -(120)/(p)}}`

Note: When you divide by a negative answer on both sides, you have to flip the sign.

Answer 2

-np - 90 < 30

Add 90 to each side, since we have to do everything on one side so we can solve the unknown variable.

`-np \ \textless \ 30 + 90`

Simplify/add 30 + 90, which should equal 120.

`-np \ \textless \ 120`

Divide each side by p, which should create a fraction due to the division.

`-n \ \textless \ (120)/(p)`

Our last step is to multiply each side by -1. We got negative 1 since a variable by itself can be considered the number 1, and since it had a negative sign in front of it.

`n \ \textgreater \ -(120)/(p)`

Answer:
`n \ \textgreater \ - (120)/(p)`