OPERATIONS OF SETS

Use the given information below to match to the correct expression. a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B

B ∪ ∅ - B If A ⊂ B - then A ∪ B = B If B ⊂ A - then A ∩ B = B A ∩ ∅ - ∅ A ∪ ∅ - A

Match the following. Given 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}

D ∩ (E ∪ F) - {1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18} D ∩ E - {1, 4, 9, 16, 25, 36, 49, 64, 81} D ∪ (E ∩ F) - {all whole numbers} D ∩ (E ∩ F) - {16} D ∩ F - {12, 14, 16, 18}

Select the statements that are true based on the following given information .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.

Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}

1. A ∩ C - {1, 3, 5} 2. B ∩ C - null, or empty set 3. A ∩ B - {2, 4} 4. A ∪ C - {1, 2, 3, 4, 5} 5. A ∪ B - {1, 2, 3, 4, 5, 6}

Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}

1. A ∪ (B ∩ C) - {1, 2, 3, 4, 5} 2. A ∩ C - {1, 3, 5} 3. A ∩ B - {2, 4} 4. A ∩ (B ∩ C) - .null, or empty set 5. B ∪ C - {1, 2, 3, 4, 5, 6}

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)? 16 3 6 4

4

Which of the following are operations in the algebra of sets? subtraction intersection division union multiplication

intersection union

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 D ∩ F? {2, 4, 6} {2} {4, 6} {2, 4, 6, 8}

{2, 4, 6, 8}

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? {4} {3, 4, 5, 6, 7, 8} {2, 3, 4, 5, 6, 7, 8} {2, 4, 6, 8}

{2, 4, 6, 8}

Select the correct answer. Given 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, 18