Question

5. A = {2, 4}; B - {x| x = 2n, n<5. n€N}. Draw
a Venn diagram to show the subset relation
between set A and set B.
(2 marks)​

Answer 1

Step-by-step explanation:

Let A and B be subsets of some universal set U. The intersection of A and B, written A∩B and read “A intersect B,” is the set of all elements that are in both A and B. That is,

A∩B={x∈U|x∈A and x∈B}.

The union of A and B, written A∪B and read “A union B,” is the set of all elements that are in A or in B. That is,

A∪B={x∈U|x∈A or x∈B}.

Definition: complement

Let A and B be subsets of some universal set U. The set difference of A and B, or relative complement of B with respect to A, written A−B and read “A minus B” or “the complement of B with respect to A,” is the set of all elements in A that are not in B. That is,

A−B={x∈U|x∈A and x∉B}.

The complement of the set A, written Ac and read “the complement of A,” is the set of all elements of U that are not in A. That is,

Ac={x∈U|x∉A}.

For the rest of this preview activity, the universal set is U={0,1,2,3,...,10}, and we will use the following subsets of U: