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-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.
\(-n \ \textless \ \frac{120}{p}\)

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.
\(n \ \textgreater \ -\frac{120}{p}\)

Answer: \(n \ \textgreater \ - \frac{120}{p}\)

TSO

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

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

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