Worksheet 1.1 – Operation on Sets
Given Sets:
A = {10, 12, 14, 16, 18, 20}
B = {11, 12, 13, 14}
C = {14, 16, 18, 20}
D = The set of all EVEN numbers less than 20
a. Elements and Cardinality:
A = {10, 12, 14, 16, 18, 20} (Elements: 10, 12, 14, 16, 18, 20; Cardinality: 6)
B = {11, 12, 13, 14} (Elements: 11, 12, 13, 14; Cardinality: 4)
C = {14, 16, 18, 20} (Elements: 14, 16, 18, 20; Cardinality: 4)
D = {2, 4, 6, 8, 10, 12, 14, 16, 18} (Elements: 2, 4, 6, 8, 10, 12, 14, 16, 18; Cardinality: 9)
b. Union (R ∪ G):
R ∪ G = {10, 11, 12, 13, 14, 16, 18, 20}
c. Intersection (R ∩ G):
R ∩ G = {12, 14, 16, 18}
d. Complement of R (R'):
R' = Set of all months when the roses do not bear flowers
e. Set Difference (F - G):
Since "F" is not defined in the given information, we cannot perform the set difference operation (F - G) without knowing the set "F."
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Answers & Comments
Worksheet 1.1 – Operation on Sets
Given Sets:
A = {10, 12, 14, 16, 18, 20}
B = {11, 12, 13, 14}
C = {14, 16, 18, 20}
D = The set of all EVEN numbers less than 20
a. Elements and Cardinality:
A = {10, 12, 14, 16, 18, 20} (Elements: 10, 12, 14, 16, 18, 20; Cardinality: 6)
B = {11, 12, 13, 14} (Elements: 11, 12, 13, 14; Cardinality: 4)
C = {14, 16, 18, 20} (Elements: 14, 16, 18, 20; Cardinality: 4)
D = {2, 4, 6, 8, 10, 12, 14, 16, 18} (Elements: 2, 4, 6, 8, 10, 12, 14, 16, 18; Cardinality: 9)
b. Union (R ∪ G):
R ∪ G = {10, 11, 12, 13, 14, 16, 18, 20}
c. Intersection (R ∩ G):
R ∩ G = {12, 14, 16, 18}
d. Complement of R (R'):
R' = Set of all months when the roses do not bear flowers
e. Set Difference (F - G):
Since "F" is not defined in the given information, we cannot perform the set difference operation (F - G) without knowing the set "F."