3. Operations of Sets

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

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

Union Intersection

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?

{2,4,6,8}

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}

1. D ∩ E ----------------------------------3 - {16} 2. D ∩ F ---------------------------------4 - {all whole numbers} 3. D ∩ (E ∩ F) ---------------------------2 - {12, 14, 16, 18} 4. D ∪ (E ∩ F) ---------------------------1 - {1, 4, 9, 16, 25, 36, 49, 64, 81} 5. D ∩ (E ∪ F) ---------------------------5 - {1, 4, 9, 16, 25, 36, 49, 64, 81, 12, 14, 18}

Construct the appropriate number sets with the given information. Use the sets to match the following: Given a = ∅ b = B c = then A ∪ B = B d = A e = then A ∩ B = B

1. If A ⊂ B ---------------------------------4 - a 2. If B ⊂ A ---------------------------------3 - d 3. A ∪ ∅ ----------------------------------1 - c 4. A ∩ ∅ ----------------------------------5 - b 5. B ∪ ∅ ----------------------------------2 -e

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

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

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

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

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.

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}