Question

Students at Central High School were asked if they were taking courses in algebra, A,

biology, B, or chemistry, C.
This problem requires 3 loops. I pretend that we've painted a really big version of this
diagram and the students are all standing in the area that represents what courses they
are taking.
For example if a student is taking Algebra and Biology then they would stand in either
(d) or (g), depending on if they were also taking chemistry.
A
(a)
(e)
(d)
(g)
(c)
C
(1)
B
(b)
(h)
Which region (or regions) represents
the students who do not take algebra?
Which region (or regions) represents
the students who take biology AND
chemistry?
Which region (or regions) represents
the students who take biology OR
[Choose ]
[Choose ]
[Choose]
>

Answer 1

1) Algebra students are A, which is represented in regions (a), (d), (g), and (e).

2) We need the intersection of B and C, which is (g) and (f).

3) We need the regions inside one of B and C. but not both, so (b) and (c)

4) We need the region outside of all 3 circles, so (h)

5) We need the intersection of all 3 circles, so (g)