A’ will contain how many elements from the original set A
Answers
Answer:
0
Step-by-step explanation:
A'=universal set -A
So,the answer is 0
A' will contain no element from the original set A
Given :
The sets A and A'
To find :
The number of elements A' will contain no element from the original set A
Solution :
Step 1 of 2 :
Define complement of a set
Let U be the universal set
Then for any set of A , the complement of A is denoted by A' & defined as
A' = { x ∈ U : x ∉ A }
Step 2 of 2 :
Find number of elements A' will contain no element from the original set A
From definition of the complement of a set A we see that
A ∩ A' = Φ
So A and A' are disjoint sets
Thus no element of A is an element of A'
Hence A' will contain no element from the original set A
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