Question 1: Write the set notation for the following: The set of all students who play football.

Answer: F

Question 2: Express the subset of students who play both football and basketball using set notation.

Answer: F ∩ B

Question 3: Write the set notation for students who do not play football.

Answer: F'

Question 4: If the universal set is U, and set A represents students who like math, write an expression for students who do not like math.

Answer: A'

Question 5: Given sets A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find A ∩ B and write your answer using set notation.

Answer: {3, 4}

Question 6: Express the set of students who do not like either football or basketball, given sets F and B.

Answer: (F ∪ B)'

Question 7: Construct a Venn diagram to illustrate sets A and B where A = {2, 4, 6} and B = {4, 5, 6}. Label the regions with the correct set notation.

Answer: Students in A only: {2}; in B only: {5}; in both A and B: {4, 6}; outside both sets: remaining students.

Question 8: If the total number of students is 50, and 20 are in set F, 15 in set B, with 5 in both, how many students are in neither set?

Answer: 50 - (20 + 15 - 5) = 20

Question 9: Identify the mistake in this statement: "F ∩ F' = F". Correct the statement.

Answer: F ∩ F' = Ø; Correct statement: F ∩ F' = Ø

Question 10: Using set notation, represent the set of students who like either football or basketball but not both.

Answer: (F ∪ B) ext{ (intersected with its complement)} = (F riangle B)

Question 11: For a universal set U, with F = {1, 2, 3} and B = {3, 4, 5}, list all students not in F or B using set notation.

Answer: U - (F ∪ B)