Question

Solve the inequality

Answer 1

\[\frac{ 9 }{ h+1 }>9\]

Answer 2

First you multiply both sides by (h+1)

Answer 3

Now I have 9>9(h+1) What is the next step?

Answer 4

Then you have the following:
9>9(h+1)

Answer 5

Then:
9>9h+9

Answer 6

Then just solve for h?

Answer 7

thats not correct, you multiply by (h+1)^2 on both sides to get 9(h+1)<(h+1)^2

Answer 8

Can you take it from there?

Answer 9

then you get 9h+9<h^2+2h+1;
which goes to 0<h^2-7h-8
and factorises as 0<(h+1)(h-8)

Answer 10

You get
9>9h+9
-9 -9
then h<0

Answer 11

h>8 and and h<-1

Answer 12

you cant multiply by an unknown not knowing if it is a negative

Answer 13

oops i got the inequality the wrong way round so its
then you get 9h+9>h^2+2h+1;
which goes to 0>h^2-7h-8
and factorises as 0>(h+1)(h-8)

Answer 14

-1<h<8