The points on the graph represent all of the possible outcomes when two fair dice are rolled a single time. For example, $(5,2),$ shown in red, represents a 5 on the first die and a 2 on the second. Which of the following sentences best describes the outcomes that lie in the shaded area?

(GRAPH CAN'T COPY)

(i) Their sum is at most 6

(ii) Their sum exceeds 6

(iii) Their sum does not exceed $6 .$

(iv) Their sum is at least 6