Answer:
{x | x > -4}
Step-by-step explanation:
{a few basic reminders:  > means greater than; < means less than; ≥ means greater than or equal to; ≤ means less than or equal to
for example: 4 < 7
                      4 ≤ 4
                      4 ≥ 3
                      4 > 3}
When we see an inequality, such as 9x > -36, we are trying to figure out what possible numbers x can be to make this statement true. 
We can either use logic / words <u>(see below)</u>, or <em>in a much more efficient manner</em>, we can solve this algebraically [as though it were an equation]
 
So, like when working with any other variable, we want to isolate x:
 9x > -36
 ÷9    ÷9
    x > -4  
just in case none of this makes sense (it can be quite confusing at first), 
<u>here's how we can think about it logically</u>
<u />
we know that whatever multiplies with 9 must be more than -36, and because -4 multiples with 9 to be exactly -36, any number greater than -4 also will be greater than -36 
meaning that x must be more than -4, which we express as: x > -4
So, the solution set (solution set means set of possible solutions) is 
{x | x > -4}
hope this helps!! have a lovely day :)