Advertisements
Advertisements
Question
Which of the following statements is false:
Options
\[A - B = A \cap B'\]
\[A - B = A - \left( A \cap B \right)\]
\[A - B = A - B'\]
\[A - B = \left( A \cup B \right) - B .\]
Solution
\[A - B = A - B'\]
It includes all those elements of A which do not belongs to complement of B which is equal to A\[\cap\]B but not equal to A \[-\] B .
Therefore, (c) is false .
APPEARS IN
RELATED QUESTIONS
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find A – B
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find A - C
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find A – D
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find B – A
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find C – A
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find D – A
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find B – C
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find B – D
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find D – B
If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12, 16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}; find C – D
If X = {a, b, c, d} and Y = {f, b, d, g}, find
X – Y
If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?
Show that if A ⊂ B, then C – B ⊂ C – A.
What is the difference between a collection and a set? Give reasons to support your answer?
Which of the following collection are sets? Justify your answer:
A collection of all natural numbers less than 50.
Which of the following collection are sets? Justify your answer:
The collection of good hockey players in India.
The symmetric difference of A and B is
The symmetric difference of A = {1, 2, 3} and B = {3, 4, 5} is
For any two sets A and B,\[\left( A - B \right) \cup \left( B - A \right) =\]
For any three sets A, B and C ______.
Let \[A = \left\{ x : x \in R, x \geq 4 \right\} \text{ and } B = \left\{ x \in R : x < 5 \right\}\] Then, \[n \left( A' \cap B' \right) =\]
If X = {a, b, c, d} and Y = {f, b, d, g}, find
Y – X
Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n ∈ X but 2n ∉ X
