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4 votes
-np-90<30 solve for n

2 Answers

4 votes

-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.
User Sakisk
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1 vote
-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)
User Strike Eagle
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7.9k points