Operations of Sets

D = {x | x is a whole number} E = {x | x is a perfect square < 36} F = {x | x is an even number between 20 and 30}

- D ∪ (E ∩ F) is {all whole numbers}. - (E ∩ F) is the empty set.

Which of the following are operations in the algebra of sets?

- intersection - union

1. A ∩ C 2. B ∩ C 3. A ∩ B 4. A ∪ C 5. A ∪ B

3. {2, 4} 5. {1, 2, 3, 4, 5, 6} 2. null, or empty set 1. {1, 3, 5} 4. {1, 2, 3, 4, 5}

D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2 and less than 9} Which of the following is an element of D ∩ (E ∩ F)?

4

D = {x | x is a whole number} E = {x | x is a perfect square < 100} F = {x | x is an even number between 10 and 20} 1. D ∩ (E ∪ F) 2. D ∩ E 3. D ∪ (E ∩ F) 4. D ∩ (E ∩ F) 5. D ∩ F

4. {16} 3. {all whole numbers} 2. {1, 4, 9, 16, 25, 36, 49, 64, 81} 5. {12, 14, 16, 18} 1. {1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18}

1. A ∪ (B ∩ C) 2. A ∩ C 3. A ∩ B 4. A ∩ (B ∩ C) 5. B ∪ C

5. {1, 2, 3, 4, 5, 6} 3. {2, 4} 4. null, or empty set 1. {1, 2, 3, 4, 5} 2. {1, 3, 5}

D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2 and less than 9} Which of the following is E ∪ F?

{2, 4, 6, 8}

D = {x | x is a whole number} E = {x | x is a perfect square between 49 and 100} F = {x | x is an even number between 10 and 20}

The expression D ∪ F means = all whole numbers The expression D ∩ F means = 12, 14, 16, 18 The expression D ∩ E means = 64, 81 The expression E ∩ F means = the empty set The expression D ∩ (E ∪ F) means = 81, 64, 12, 14, 16