Which of the following sets would have a graph with an open circle on 4 and a ray pointing left on the number line? {x | x ∈ R, x ≤ 4} {x | x ∈ R, x ≥ 4} {x | x ∈ R, x 4}

Question

Which of the following sets would have a graph with an open circle on 4 and a ray pointing left on the number line?
{x | x ∈ R, x ≤ 4}
{x | x ∈ R, x ≥ 4}
{x | x ∈ R, x < 4}
{x | x ∈ R, x > 4}

anonymous · Answer

so i think the third one because its pointing left and open rightt?

accessdenied · Answer

The third option would be correct, yes.
When we shade the values to the left, it just means we are shading the values "less than" that number.  "x<4" makes sense, then, because we are looking at the interval with x's less than 4 and not equal to 4 (open)