answer:
2 ≤ x ≤ 5
Explanation:
at the end of the piece-wise function (the short line), the circles are closed.
closed circles = ≤ or ≥
open circles = < or >
immediately, c and d are out of the equation.
the domain refers to what the range of x-values is (bottom line) so let's look. we have (2,5) and (5,3)
the x-values of those are 2 and 5, with x in between/including them.
(if we were to find the range it would be 5 and 3, with x in between/including them)
so, 2 ≤ x ≤ 5. we use ≤ because it is not smaller than 2, and not bigger than five. using ≥ would be all numbers except in between 2 and 5.