The answer here is that x > -2.  Here is how you arrive at this answer.

All you have to do is to solve this in the same way that you would solve a normal equation -- one that is not an inequality.  To do that, you isolate the x term on one side.  You should do this by subtracting 5 from both sides.  When you do that, you get

-2x < 4

Now you must divide by -2, but you must take care that you do not forget to change the direction of the inequality sign when you do this.  Then you will have

x > -2

5-2x < 9

We will solve it the way we solve the equation:

First subtract 5 from both sides:

-2x < 4

Now divide by -2

 ==> x > -2

Notice that we changed the direction of the inequality because we divided by a negative number .

Then x values:

x belongs to the interval (-2, infinity).