If A is subset of B then what is A-B
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Answer:
if A is a sub set of B then A-B = Intersection of set B.
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If A is subset of B then A - B = Φ
Given :
A is subset of B
To find :
The set A - B
Solution :
Step 1 of 2 :
Define subset of a set
A set S is said to be a subset of T if every element of S is an element of T . It is written as S ⊆ T
Step 2 of 2 :
Find the set A - B
Here it is given that , A is subset of B
∴ A ⊆ B
∴ Every element of A is an element of B
∴ There is no element in A which are not in B
Now we have ,
A - B
= { x ∈ A : x ∉ B }
= Φ
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