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Subjects
Mathematics State Board
Class 9
Set Language
De Morgan's Law
5.
Prove De Morgan's law for set difference
Exercise condition:
4
m.
If
A = \{
0
,
7
,
12
,
19
,
21
\}
,
B = \{
5
,
7
,
11
,
14
,
19
\}
and
C = \{
0
,
5
,
19
,
22
\}
, then prove De Morgan's law of set difference and hence determine
(A - B) \cup (A - C)
.
1
.
De Morgan's law of set difference
:
A - (B \cup C) = (A - B) \cup (A - C)
A - (B \cap C) = (A - B) \cap (A - C)
A - (B \cap C) = (A - B) \cup (A - C)
A - (B \cap C) = (A - B) \cup (B - C)
2
.
(A - B) \cup (A - C)
7
,
12
,
21
5
,
19
0
,
7
,
12
,
21
0
,
12
,
21
1
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