1. The problem asks to write an inequality for a graph showing a horizontal number line with an arrow pointing left from an open circle at -4. 2. An open circle at -4 means the value -4 is not included in the solution. 3. The arrow pointing left indicates all values less than -4 are included. 4. Therefore, the inequality representing this graph is $x < -4$. 5. This means $x$ can be any number less than -4, but not -4 itself.