Question

Part

a. Solve −np − 90 < 30 for n. Show your work. (4 points) Part
b. Solve 5m − 3h = 45 for h. Show your work. (6 points) (10 points)

Answer 1

-np - 90 < 30
+ 90 + 90
-np < 120
p p
-n < 120/p
-1 -1
n < -120/p

5m - 3h < 45
5m - 5m - 3h < -5m + 45
-3h < -5m + 45
-3 -3
h < 1²/₃m - 15

Answer 2

Answer: The required solutions are :

`(a)~n>-(120)/(p),~~~(b)~h=(5m-45)/(3).`

Step-by-step explanation: We are given to solve the following :

(a) −np − 90 < 30 for n.

We have

`-np-90<30\\\\\Rightarrow -np<30+90\\\\\Rightarrow -np<120\\\\\Rightarrow n>-(120)/(p).`

(b) 5m − 3h = 45 for h.

We have

`5m-3h=45\\\\\Rightarrow 3h=5m-45\\\\\Rightarrow h=(5m-45)/(3).`

Thus, the required solutions are :

`(a)~n>-(120)/(p),~~~(b)~h=(5m-45)/(3).`