Question
Download Solution PDFIf A = { x : x ∈ N, 0 < x < 6} and B = {x : x is a prime natural number, 0 < x < 10} Find A - B?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Difference of two Sets:
Let A and B be two sets. The difference of A and B is denoted as (A - B)
It is the set of all those elements of A which are not present in B i.e {x : x ∈ A and x ∉ B}
The Venn diagram representation of the difference of two sets is shown below
n(A - B) = n(A) - n(A ∩ B)
Calculation:
Given:
A = { x : x ∈ N, 0 < x < 6}
B = {x : x is a prime natural number, 0 < x < 10}
A = { x : x ∈ N, 0 < x < 6}
A = {1, 2, 3, 4, 5}
B = {x : x is a prime natural number, 0 < x < 10}
B = {2, 3, 5, 7}
A - B = {1, 2, 3, 4, 5} - {2, 3, 5, 7}
= {1, 4}
∴ The value A - B is {1, 4}.
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