a graph has a number line with a line with a filled in circle going from 1 to -10 with an arrow at the end, which inequality would represent the graph best?

The inequality that best represents the given graph would be x ≤ 1.

The filled-in circle at the number 1 represents that 1 is included in the solution set. The arrow at the end of the line indicates that the graph extends indefinitely in the negative direction beyond -10. Therefore, x must be less than or equal to 1.