Difference of Two Sets
Trending Questions
Q. Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements :
(1)A⊂C⇒(A∩B)⊂(C∩B), (A∪B)⊂(C∩B)
(2)(A∪B)⊂(C∩B) for all sets B⇒A⊂C
(3) (A∪B)⊂(C∪B) for all sets B⇒A⊂C
Which of the above statements are correct ?
Q.
If A - B = {1, 3, 7, 8}, B - A = {2, 4, 6} and A∩B={5}, then the elements of set A and B are ___ and ___ respectively.
{1, 3, 5, 7, 8}, {2, 4, 5, 6}
{2, 4, 5, 6}, {1, 3, 5, 7, 8}
{1, 3, 5, 7}, {2, 4, 5, 6}
{1, 3, 5, 7, 8}, {4, 5, 6}
Q. Varun was facing some difficulty in simplyfying His classmate Priya gave him a clue to rationalise the denominator for simplification. Varun Simplified the expression and thanked Priya for this good will. How Varun simplified ? What value does it indicate?
Q. If n (A) = 20, n (B) = 28 and n (AB) = 36 then n (A B) = ?
Q.
If A = Set of whole numbers and B = Set of natural numbers, then A - B = ___.
{0}
{ }
A
{1}
Q.
(a)
(b)
(c) 1
(d) none of these
(a)
(b)
(c) 1
(d) none of these
Q.
Tick the correct answer:
of is:
Q. If ∪ = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.
B = {2, 4}
A = {0}
C = {1, 9, 5, 13}
D = {5, 11, 1}
E = {13, 7, 9, 11, 5, 3, 1}
F = {2, 3, 4, 5
Q. Let A and B be subsets of a set X. Then, ___.
- A−B=A∪B
- A−B=A∩B
- A−B=Ac∩B
- A−B=A∩Bc
Q. Prove that:
(1)P(A∪B)=P(A)+P(B)-P(A∩B)
(2)P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(B∩C)-P(C∩A)+P(A∩B∩C)
Q. If A={y:y=a+12, a ϵ W and a≤5}, B{y:y=2n−12, n ϵ Wand n<5} and C={−1, −12, 1, 32, 2} then A−(B∪C)=
- {2}
- {1}
- {3}
- {1, 2, 3}
Q. Rationalise the denominator of each of the following:
Q. If 4m+5n=7. Find m when n=−5
Q. Rationalise the denominator of each of the following:
Q. For two sets A and B, A x B = B x A, if _______.
- n(A) < n(B)
- n(A) > n(B)
- A = B
- n(A) = n(B)
Q.
If A – B = A, then (A∩B) =
{ }
A
A∪B
B
Q. Find the values of a and b in each of the following.
Q. What is the fundamental difference between a function and a a relation form a set A to a set B ?
Q. Rationalise the denominator of each of the following:
Q. If A={1, 2, 3}, B={2, 4, 5} and C={4, 1, 9}, then verify A∪(B∩C)=(A∪B)∩(A∪C).
Q. If n(A) = x and n(B) = y, then which of the following is correct?
- n(A + B) = xy
- n(A x B) = x + y
- n(A x B) = x - y
- n(A x B) = xy
Q. Use the Venn-diagram to find A - B.
- {g, h}
- {a, d, g}
- {c, e}
- {a, d}
Q. For two sets A and B, A x B = B x A, if _______.
- n(A) < n(B)
- n(A) > n(B)
- n(A) = n(B)
- A = B
Q. Solve for x , 5log10x=50−xlog105
Q. Let f(x)=ϕ(2−x)+ϕ(x) and p′′(x)<0 for x∈[0, 2], then
- f(x) is m.i. in f[0, 1]
- f(x) is m.d. in f[0, 1]
- f(x) is m.d. in f[1, 2]
- f(x) is m.i. in f[1, 2]
Q. Use the Venn-diagram to find A - B.
- {g, h}
- {a, d, g}
- {c, e}
- {a, d}
Q. If A={y:y=a+12, a∈W and a≤5}, B={y:y=2n−12, n∈W and n<5} and C={−1, −12, 1, 32, 2}, then show that A−(B∪C)=(A−B)∩(A−C)
Q. Write the conjugate of the following surds and find the product of each pair:
(i)
(ii)
(iii) 3 + 2
(iv) 5
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(i)
(ii)
(iii) 3 + 2
(iv) 5
(v)
(vi)
(vii)
(viii)
(ix)
(x)