This math is new to me and I could usually use some help. Thanks it’s asking me to select all the names that apply and I’m confused

A Ven diagram is a diagram of sets, from the graph we can identify 3 sets:
• The set ,U, that is comprised of all the students
,• The set ,A, of the students who play soccer
,• The set ,B, of those who play baseball.
To identify the students that are in the set U we only have to see all the names that are inside the green rectangle, these are
• Ann
,• Dan
,• Kate
,• Max
,• Sue
,• Ada
,• Eli
,• Liam
,• Tye
,• Jill
,• Sam
,• Tim
,• Bob
,• Faye
,• Paul
Now to identify all the members the sets A and B we must identify the names that are in each of the circles
For the set A we have all the names in the red circle
For the set B all the names in the blue cirlce
For set A and B we only have the purple circle