If U = {x : x\(\in \)N and x<10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A∪B)′] is  ________.

If J = Set of three sided shapes, K = Set of shapes with two equal sides and L = Set of shapes with right angle, then J ∩ K ⋂ L is ________.

If A,B,C are non-overlapping sets, then n \(\left( A\cap B\cap C \right) \) is ___________

\(\left( A\cup B\cup C \right) \cup \left( A\cup BC \right) ^{ ' }\)=_______

\(n(A\cup B\cup C)\)=________

If A = {2, 3, 4, 5}, B = {2, 3, 5, 7} and C = {1, 3, 5}, then verify \(A\cup (B\cup C)=(A\cup B)\cup C\).

If A = {p, q, r, s}, B = {m, n, q, s, t} and C = {m, n, p, q, s}, then verify the associative property of union of sets.

If A = { x : x = 2ⁿ, n \(\in \) W and n < 4}, B = {x : x = 2n, n \(\in \) N and n ≤ 4} and C = {0, 1, 2, 5, 6} , then verify the associative property of intersection of sets.

If A = {0, 2, 4, 6, 8}, B = {x : x is a prime number and x < 11} and C = {x : x ∈ N and 5 ≤ x < 9} then verify \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\).

State Associative property of sets.

State the formula to find \(n\left( A\cup B\cup C \right) \)

If K = {a,b,d e f }  L = {b,c,d,g} and M = {a,b,c,d,h}, then find the following:
(i) K \(\cup \)(L \(\cap \) M)
(ii) K \(\cap \)(L \(\cup \) M)
(iii) (K\(\cup \)L)\(\cap \)(K\(\cup \)M)
(iv) (K\(\cap \)L)\(\cup \)(K\(\cap \)M)

Verify \(A \cup(B \cap C)=(A \cup B) \cap(A \cup C)\) using Venn diagrams.

In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x, then find the value of x,y and z.

If A = {2,5,6,7} and B = {3,5,7,8}, then verify the commutative property of union sets

If A = {2,5,6,7} and B = {3,5,7,8}, then verify the commulative property of intersection of sets

Verify A -(BUC) = (A-B)∩(A-C) using Venn diagrams.

Using the adjacent Venn diagram, find the following sets:
(i) A-B
(ii) B-C
(iii) A'\(\cup \)B')
(iii) A'\(\cap \)B'
(iv) (B\(\cup \)C)'
(vi) A-(B\(\cup \)C)
(vii) A-(B\(\cap \)C)

If U = {x :x \(\in \)  Z, -3 \(\le \) x \(\le \) 9 },A = {x : x = 2P +1, \(\in \) Z, -2 \(\le \) P\(\le \) 3}, B ={x : x = q + 1, q \(\in \) Z, 0 \(\le \) q \(\le \) 3}, verify De Morgan's law's for complementation.

If A = {b, c, d, e} and B = {b, c, e, g} and C = {a, c, e}, then verify \(A\cup \left( B\cup C \right) \) = \(\left( A\cup B \right) \cup C\)