Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Show that for any sets and
MATHEMATICS · Subjective · CBSE · Mathematics · Sets · Sets
Problem
6. Show that for any sets
A
A
A
and
B
B
B
,
A
=
(
A
∩
B
)
∪
(
A
−
B
)
\mathrm{A}=(\mathrm{A} \cap \mathrm{B}) \cup(\mathrm{A}-\mathrm{B})
A
=
(
A
∩
B
)
∪
(
A
−
B
)
and
A
∪
(
B
−
A
)
=
(
A
∪
B
)
\mathrm{A} \cup(\mathrm{B}-\mathrm{A})=(\mathrm{A} \cup \mathrm{B})
A
∪
(
B
−
A
)
=
(
A
∪
B
)
Related theory
Operations on Sets
Sets
Set operations
Union and intersection
Browse the problem library