1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
De Morgan's Law
Show that:i A...
Question
Show that:
(i)
A
∪
(
A
∩
B
)
=
A
(ii) To show
A
∩
(
A
∪
B
)
=
A
Open in App
Solution
(i)
A
⊂
A
(a is a sbuset of if )-property of sets &
A
∩
B
⊂
A
(naturel)
∴
A
∪
(
A
∩
B
)
⊂
A
−
(
1
)
&
A
⊂
A
∪
(
A
∩
B
)
−
(
2
)
From (1) & (2)
A
∪
(
A
∩
B
)
=
A
(ii)
A
∩
(
A
∪
B
)
=
(
A
∩
A
)
∪
(
A
∩
B
)
-property of sets.
=
A
∪
(
A
∩
B
)
=A {from (i)above}
∴
proved.
Suggest Corrections
0
Similar questions
Q.
Using properties of sets show that:
(
i
)
A
∪
(
A
∩
B
)
=
A
(
i
i
)
A
∩
(
A
∪
B
)
=
A
Q.
By using properties of determinants, show that:
(i)
(ii)