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Subjects
Mathematics State Board
Class 9
Set Language
Application on cardinality of sets
2.
Two mark example problems I
Exercise condition:
2
m.
From the Venn diagram, verify that
n(A \cup B) = n(A) + n(B) - n(A \cap B)
.
Proof
:
LHS
:
n(A \cup B) =
n(A) =
n(B) =
n(A \cap B) =
RHS
:
n(A) + n(B) - n(A \cap B) =
Since LHS
=
RHS, then
n(A \cup B) = n(A) + n(B) - n(A \cap B)
.
Hence, we proved.
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