Question

Solve the compound inequality 9 + 3n > 3 or 5n < 30

Answer 1

You can think of the < and > signs the same way you would think of = signs and treat the equation the same. The only difference comes in when you divide by a negative, then you would "flip" the sign. But in these cases you wouldn't need to.

Answer 2

\[9+3n>3\]
\[3n>3-9 \]
\[3n>-6\]
\[n> \frac{-6}{3}\]
\[n>-2\]
---------------
\[5n<30 =>n <6\]
Now graph these on a number line.
************* n<6
-----|-----|-----
-2 6

**************
----|-----|----- n>-2

Notice you don't have and in btw so we aren't looking for the intersection.
We are looking for when we have 1 or both.

So what do you conclude the answer is?