The correct representation is the third option: "A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3, and a bold line starts at negative 3 and is pointing to the left."
This representation signifies that the solution set for the inequality 3(8 – 4x) < 6(x – 5) includes all values less than negative 3, represented by the bold line pointing to the left from the open circle at negative 3. The number line starts at negative 5 and goes up to positive 5 in increments of 1.