Question 1:
(a)
Diagram 1 is a Venn diagram showing set W and set X, such that the universal set, ξ = W U X.
Diagram 1
State the relation between set W and set X. [1 mark].
(b) It is given that set P = {x : x is a multiple of set 4}, set Q = {x : x is a factor of 3} and set R = {x : x is a factor of 6}, such that the universal set, ξ = P U Q U R.
Based on the information in (b), draw a Venn diagram in the answer space, to show the relationship between set P, set Q and set R. [2 marks]
Solution:
(a)
Set X is in set W. So, X is a subset of W.
(b)
P = {4, 8, 12, 16, ….. }
Q = {1, 3}
R = {1, 2, 3, 6}
(a)
Diagram 1 is a Venn diagram showing set W and set X, such that the universal set, ξ = W U X.
Diagram 1State the relation between set W and set X. [1 mark].
(b) It is given that set P = {x : x is a multiple of set 4}, set Q = {x : x is a factor of 3} and set R = {x : x is a factor of 6}, such that the universal set, ξ = P U Q U R.
Based on the information in (b), draw a Venn diagram in the answer space, to show the relationship between set P, set Q and set R. [2 marks]
Solution:
(a)
Set X is in set W. So, X is a subset of W.
(b)
P = {4, 8, 12, 16, ….. }
Q = {1, 3}
R = {1, 2, 3, 6}