There are four fundamental or basic set operations. They are given below:
.
Solution:
Here,
P = {a, e, i, o, u}
Q = {a, b, c, d, e}
Now,
P∪Q = {a, b, c, d, e, i, o, u}
The shahded region represents the elements of P∪Q.
P∩Q = {a, e}
The shahded region represents the elements of P∩Q
P - Q = {i, o, u}
The shahded region represents the elements of P - Q
Q - P = {b, c, d}
The shahded region represents the Q - P
Solution:
Here,
A = {2, 4, 6, 8, 10, 12}
B = {1, 2, 3, 4, 5, 6}
C = {2, 3, 5, 7, 11}
Now,
B∪C = {1, 2, 3, 4, 5, 6, 7, 11}
∴ A∪(B∪C) = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12}
Again,
A∪B = {1, 2, 3, 4, 5, 6, 8, 10, 12}
∴ (A∪B)∪C = {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12}
∴ A∪(B∪C) = (A∪B)∪C proved.
Solution:
Here,
\(\overline{A∪B}\) = {4, 6, 7}
\(\overline{A}\) ∩ \(\overline{B}\) = {4, 5, 6, 7, 8, 9} ∩ {1, 3, 4, 6, 7}
\(\overline{A}\) ∩ \(\overline{B}\) = {4, 6, 7}
Again,
\(\overline{A∩B}\) = {1, 3, 4, 5, 6, 7, 8, 9}
\(\overline{A}\) ∪ \(\overline{B}\) = {4, 5, 6, 7, 8, 9} ∪ {1, 3, 4, 6, 7}
\(\overline{A}\) ∪ \(\overline{B}\) = {1, 3, 4, 5, 6, 7, 8, 9}
There are ______ fundamental or basic set operations.
Union of set is denoted by _______.
Intersection of a set is denoted by ______.
If P = {a, e, i, o, u} and Q = {a, b, c,d, e} find P - Q.
If A = {2, 4, 6, 8, 10} and B = {1, 2, 3, 4, 5, 6, 7} find A∩B.
ASK ANY QUESTION ON Set Operations
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