Answer: (-∞, 20)
Work Shown
Solve for x.
-4 > x -24
-4+24 > x -24+24
20 > x
x < 20
That can be expanded to -∞ < x < 20
Then it can be converted to the interval notation (-∞, 20). This is the interval from minus infinity to 20. The curved parenthesis is to exclude the endpoint. The value x = 20 is not in the solution set.
To graph this on a number line, plot an open circle at 20. Then shade to the left. The open circle means "exclude this endpoint".