Unions, Complements, and Intersections
Presentation
•
Mathematics
•
7th - 8th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 12 Questions
1
by Ginger Remy
2
All the of the elements in both A and B.
If A={1,2,3} and B={2,3,4,5,6},
then AUB ={1,2,3,4,5,6}
3
Elements that are common to both sets
If P={friday, saturday, sunday} & Q= {sunday, monday}
Then P n Q= {sunday}
4
When two sets have no elements in common.
If A={2,4,6,8} and B={3,9,10,12}
Then A n B= { }
5
Everything that is not in the given set.
If U= {p,q,r,s,t,u,v,w}
and V={q,t,w}
then V'={p,r,s,u,v}
6
Open Ended
What does this symbol represent?
7
Open Ended
What does this symbol represent?
8
Open Ended
Write the symbol for S complement.
9
Multiple Choice
If A = {5, 6, 7} and B = {6, 8, 10, 12}; then A ∪ B = {5, 6, 7, 8, 10, 12}.
True
False
t
10
Multiple Choice
If P = {a, b, c} and Q = {b, c, d}; then p intersection Q = {b, c}.
True
False
11
Multiple Choice
Union of two sets is the set of elements which are common to both the sets.
True
False
12
Multiple Choice
Two disjoint sets have atleast one element in common.
True
False
13
Multiple Choice
If two given sets have no elements common to both the sets, the sets are said to me disjoint.
True
False
14
Multiple Choice
If A and B are two disjoint sets then A ∩ B = { }, the empty set.
True
False
15
Open Ended
If 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) A ∪ B
(ii) A ∩ B
(iii) B ∩ A
(iv) B ∪ A
(v) B ∪ C
(vi) Is A ∪ B = B ∪ A?
(vii) Is B ∩ C = B ∪ C?
16
Open Ended
If A = {1, 3, 7, 9, 10}, B = {2, 5, 7, 8, 9, 10}, C = {0, 1, 3, 10}, D = {2, 4, 6, 8, 10}, E = {negative natural numbers} and F = {0}
Find:
(i) A ∪ B
(ii) E ∪ D
(iii) C ∪ F
(iv) C ∪ D
(v) B ∪ F
(vi) A ∩ B
(vii) C ∩ D
(viii) E ∩ D
(ix) C ∩ F
(x) B ∩ F
(xi) (A ∪ B) ∪ (A ∩ B)
(xii) (A ∪ B) ∩ (A ∩ B)
17
Open Ended
If A={a,b,c,d,e,f,g} and B={a,n,f,j,g,h}. List the members of
i. B'
ii. A'
by Ginger Remy
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