Question

Please help!!!
Solve -np - 90 > 30 for n. Show your work.

Answer 1

for n... so we need n by itself...

Answer 2

ok

Answer 3

alright... so we need to add what number to both sides so we have all numbers to the right

Answer 4

-np -90 > 30

I want all numbers to the right.. .

Answer 5

so how do we cancel out the 90 in the left? and have 90 on the right?

Answer 6

+90

Answer 7

yup add 90 to both sides
-np>30+90
and what's 30+90?

Answer 8

120

Answer 9

yup so now we have -np>120
we just need to divide

when dividing both sides with a negative sign we need to switch the inequality signs

Answer 10

now we need just an n by itself... what can we divide to both sides to make that happen?

Answer 11

divide by p

Answer 12

yes we divide by p , but remember we want just positive n by itself so we need to divide both sides by -p and since we have a negative sign involved, the inequality sign gets switched.

Answer 13

oh ok

Answer 14

-np >120
\[n < \frac{120}{-p}\]

Answer 15

though negative signs in the denominator is frowned upon :(
so just place it in the numerator/
\[n < \frac{-120}{p}\]

Answer 16

ok

Answer 17

so now we have n by itself... we're done . :)

Answer 18

thank you :)