Question

Which of the following sets would have a graph with an open circle on 2 and a ray pointing left on the number line?
{x | x ∈ R, x ≤ 2}
{x | x ∈ R, x > 2}
{x | x ∈ R, x < 2}

Answer 1

What that notation means is x is an element of r and the arrows that define the direction mean that it either includes 2 or doesn't. If x points to left that means it is nevgative so 2 is greater than x and it doesn't include 2 because it's a ray so x|x E R, x <2. I hope that helps.