Venn Practice Name Mikey drake 1. State whether the following are true or false: (i) If A = {5, 6, 7) and B = {6, 8, 10, 12); then A u B = {5, 6, 7, 8, 10, 12). (ii) If P = (a, b, c) and Q = {b, c, d}; then p intersection Q = {b, c}. (iii) Union of two sets is the set of elements which are common to both the sets. (iv) Two disjoint sets have at least one element in common. (v) Two overlap sets have all the elements common. (vi) If two given sets have no elements common to both the sets, the sets are said to me disjoint. (vii) If A and B are two disjoint sets then AnB = {}, the empty set.
Venn Practice Name Mikey drake 1. State whether the following are true or false: (i) If A = {5, 6, 7) and B = {6, 8, 10, 12); then A u B = {5, 6, 7, 8, 10, 12). (ii) If P = (a, b, c) and Q = {b, c, d}; then p intersection Q = {b, c}. (iii) Union of two sets is the set of elements which are common to both the sets. (iv) Two disjoint sets have at least one element in common. (v) Two overlap sets have all the elements common. (vi) If two given sets have no elements common to both the sets, the sets are said to me disjoint. (vii) If A and B are two disjoint sets then AnB = {}, the empty set.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:Venn Practice
1. State whether the following are true or false:
(i) If A = {5, 6, 7) and B = {6, 8, 10, 12); then AUB= {5, 6, 7, 8, 10, 12).
(ii) If P = {a, b, c) and Q = {b, c, d}; then p intersection Q = {b, c}.
(iii) Union of two sets is the set of elements which are common to both the sets.
(iv) Two disjoint sets have at least one element in common.
(v) Two overlap sets have all the elements common.
(vi) If two given sets have no elements common to both the sets, the sets are said to me
disjoint.
(vii) If A and B are two disjoint sets then An B = { }, the empty set.
(ii) An B
2. Let A, B and C be three sets such that:
Set A = {2, 4, 6, 8, 10, 12), set B = {3, 6, 9, 12, 15) and set C = {1, 4, 7, 10, 13, 16).
Find:
(i) AU B
Name
(i) AUB
(iii) B NA
(ii) A UC
Mikey drake
(iv) BUC
3. If A = {2, 3, 4, 5}, B ={c, d, e, f} and C = {4, 5, 6, 7};
Find:
(iii) (A U B) n (A U C)
(iv) AU (BNC)
4. Write each given set in the Set-Builder Form:
(i) {2, 4, 6, 8, 10}
(ii) {2, 3, 5, 7, 11}
(iii) (Tuesday, Thursday}
(v) Is A U B = BUA?
(vi) Is B n C = BUC?
(v) Is (A U B) n (AUC) =
AU (BNC)?
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