if U = [3,7), A = (3,7) then A' =
Answers
Answer:
(null set), (0)
Step-by-step explanation:
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SOLUTION
CORRECT QUESTION
If U = { 3 , 7 } , A = { 3 , 7 } then A' =
CONCEPT TO BE IMPLEMENTED
SET :
A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole
Representation of Set :
A set can be represented in following ways
(i) Statement form method
(ii) Roster or tabular form method
(iii) Rule or set builder form method
EVALUATION
We know that for any set A the complement of A is denoted by A' and defined as
A' = { x ∈ U : x ∉ A }
Here it is given that ,
Universal set = U = { 3 , 7 }
A = { 3 , 7 }
We see that all elements of A are in U
Thus A = U
Hence the required set
= A'
= { x ∈ U : x ∉ A }
= Φ
FINAL ANSWER
If U = { 3 , 7 } , A = { 3 , 7 } then A' = Φ
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