Home
Class 11
MATHS
If A = {1,2,3,4,5},B={2,4,6,8} and C={3,...

If `A = {1,2,3,4,5},B={2,4,6,8} and C={3,6,7,8}`, then show that :
(i) `A cup(BcapC)=(AcupB)cap(A cupC)`
(ii) `A cap(B cupC)=(A capB)cup(A capC)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Given A={x in N: x lt 6}, B={3,6,9} and C={x in N: 2x-5 le 8} . Show that: (i) A cup (B cap C) =(A cup B) cap (A cup C) (ii) A cap (B cup C) =(A cap B) cup (A cap C)

If A = {1,2,3,4}, B = {2,4,6,8}, C = {3,4,5,8}, " then" A cap B cap C =

If A={1,2,3,4},B={2,4,5,8} and C={3,4,5,6,7} , find A cup(B cupC)

If A={1,2,3,4},B={2,4,5,8} and C={3,4,5,6,7} , find A cup(BcapC).

If A={2,3,5,8,10},B={3,4,10,12} and C={4,5,8,14} , then find each of the following : (i) (A cupB)cap(A cupC) (ii) (A capB)cup(A capC) .

If A={2,3,5,8,10},B={3,4,10,12} and C={4,5,8,14} , then find each of the following : (i) (A cupB)cap(A cupC) (ii) (A capB)cup(A capC) .

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}, verify: (i) A-(B cup C) =(A-B) cap (A-C) (ii) A-(B cap C) =(A-B) cup (A-C)

if U = {1,2,3,4,5,6,7,8,9}, A = {2,4,6,8} and B ={2,3,5,7} , verify that : (i) (A cup B) '=(A'cap B') (ii) (A cap B) '=(Acup B')

Using Venn diagram, prove the following i. A cup (B cap C)=(A cup B) cap (A cup C) ii. A cap (B cup C)=(A cap B) cup (A cap C)

Let A ={1,2,4,5},B={2,3,5,6},C={4,5,6,7}.verify the following identity Acup(B cap C)=(A cup B) cap (A cup C)