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 e R, x ≤ 2}
{x | x e R, x > 2}
{x | x e R, x < 2}

e=https://media.glynlyon.com/g_alg01_2012/4/element.gif

Answer 1

{x | x e R, x < 2}

because it's read as "x includes all real x's that are less than (but not equal to) 2"

less than means the ray is pointing left (towards lower numbers)

and a lack of the equals to sign (i.e. {x | x e R, x ≤ 2}) means that the circle is open (not including 2)