Respuesta :

-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:  The required solutions are :

[tex](a)~n>-\dfrac{120}{p},~~~(b)~h=\dfrac{5m-45}{3}.[/tex]

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

(a) −np − 90 < 30 for n.

We have

[tex]-np-90<30\\\\\Rightarrow -np<30+90\\\\\Rightarrow -np<120\\\\\Rightarrow n>-\dfrac{120}{p}.[/tex]

(b) 5m − 3h = 45 for h.

We have

[tex]5m-3h=45\\\\\Rightarrow 3h=5m-45\\\\\Rightarrow h=\dfrac{5m-45}{3}.[/tex]

Thus, the required solutions are :

[tex](a)~n>-\dfrac{120}{p},~~~(b)~h=\dfrac{5m-45}{3}.[/tex]