The universal set is $\xi=\{1,2,3,4,5,6,7,8\}$. Let $A=\{2,4\}$ and $B=\{2,4,6,8\}$. Draw

Question

The universal set is $\xi=\{1,2,3,4,5,6,7,8\}$. Let $A=\{2,4\}$ and $B=\{2,4,6,8\}$. Draw a Venn diagram to show the relationship between A and B, placing every element of $\xi$ in its region.[3] A pupil says that A and B are disjoint because they have different numbers of elements. Explain why this is incorrect.[1]

Accepted Answer

(a) A inside B; A: 2,4; B only: 6,8; outside: 1,3,5,7 (b) Common elements are 2 and 4.

Representing contained and disjoint sets

Representing contained and disjoint sets

Solution:

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