Chapter 2.3B, Problem 17A

Students at Hellgate High School were asked if they were taking courses in Algebra (A), biology (B), or chemistry (C). Use the diagram to answer the following questions.

a. Which region (or regions) represent the students who do not take algebra? (List the letters.)

b. Which region (or regions) represent the students who take biology or chemistry? (List the letters.)

c. A student who took both algebra and biology could be in which region (or regions)? (List the letters.)

d. How would you describe region (a) in sentence form?

e. How would you describe region (f) in sentence form?

f. Describe region (f) using set notation.

g. If we were to combine regions (d) and (g) to form one large region, describe it using set notation.

h. Describe region (g) using set notation.