Question

Write an inequality for the graph.

A. y≤ |x – 5| + 5

B. y≤ |x + 5| + 5

C. y≤ |x – 5| – 5

D. y≥ |x – 5| + 5

Answer 1

first of all, the shaded part is under the line, so it is a smaller than, so we can eliminate D
next, look at the vertex, it is at (5,5), which means when x=5, whatever is inside the absolute symbol has a value of zero, and y will be 5
so the answer is A