Final answer:
The set with an open circle on 2 and a ray pointing left is Option B) x , which represents all numbers that are less than 2, but not including 2 itself.
Step-by-step explanation:
The set that would have a graph with an open circle on 2 and a ray pointing left on the number line is Option B) x < 2. This indicates that x includes all numbers that are less than 2. The open circle means that 2 itself is not included, so it is not a closed circle which would be used for including the endpoint. The ray pointing left shows that it includes all numbers to the left of 2, which are indeed less than 2.