2017 AMC 12A Question 9 - thichhoctoan.com

Question 9

Let $S$ be the set of points $(x,y)$ in the coordinate plane such that two of the three quantities $3,$ $x+2,$ and $y-4$ are equal and the third of the three quantities is no greater than this common value. Which of the following is a correct description of $S?$

a single point
two intersecting lines
three lines whose pairwise intersections are three distinct
points
a triangle
three rays with a common endpoint