Advertisements
Advertisements
Question
Find the intersection of pair of sets:
A = {x : x is a natural number and 1 < x ≤ 6}
B = {x : x is a natural number and 6 < x < 10}
Solution
Here, A = {x : x is a natural number and 1 < x ≤ 6} = {2, 3, 4, 5, 6}
And B = {x : x is a natural number and 6 < x < 10} = {7, 8, 9}
∴ A ∩ B = Φ
APPEARS IN
RELATED QUESTIONS
Find the intersection of pair of sets:
X = {1, 3, 5}, Y = {1, 2, 3}
Find the intersection of pair of sets:
A = {a, e, i, o, u}, B = {a, b, c}
Find the intersection of pair of sets:
A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
Find the intersection of pair of sets:
A = {1, 2, 3}, B = Φ
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
A ∩ B
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
A ∩ B
Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. Show that B = C.
Show that the following four conditions are equivalent:
- A ⊂ B
- A – B = Φ
- A ∪ B = B
- A ∩ B = A
Using properties of sets show that A ∪ (A ∩ B) = A
Using properties of sets show that A ∩ (A ∪ B) = A.
Show that A ∩ B = A ∩ C need not imply B = C.
In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how many students were taking neither tea nor coffee?
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
A ∩ C
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
B ∩ D
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
A ∩ (B ∪ C)
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
A ∩ D
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
A ∩ (B ∪ D)
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
(A ∩ B) ∩ (B ∪ C)
If A = {3, 5, 7, 9, 11}, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}; find
(A ∪ D) ∩ (B ∪ C)
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
A ∩ C
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
A ∩ D
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
B ∩ C
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
B ∩ D
If A = {x : x is a natural number}, B = {x : x is an even natural number} C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:
C ∩ D