Concept:The diagram represents an inequality on a number line or graph, and the required region is the set of x values indicated by the shaded part.Explanation:The shaded region starts at x=−1 and ends at x=4.Both x=−1 and x=4 are included because the endpoints are shaded or closed.Therefore, the values of x lie between −1 and 4, inclusive.This condition is written as −1≤x≤4.Answer:−1≤x≤4This is option C.