Home
Class 8
MATHS
Given A={x in N: x lt 6}, B={3,6,9} and ...

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)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Prove A cup (B cap C)=(A cup B) cap(A cup C)

If A={x in W: 5 lt x lt 10}, B={3,4,5,6,7} and C={x =2n, n in N " and " n le 4} . Find: (i) A cap (B cup C) , (ii) (B cup A) cap (B cup C) (iii) B cup (A cap C) , (iv) (A cap B) cup (A cap C) Name the sets which are equal.

Prove (A cap B)'=(A' cup B')

For sets (A cup B) cup ( A cap B) equals

If A = {5, 6, 7, 8, 9}, B={x : 3 lt x lt 8 " and " x in W} and C={x:x le 5 " and " x in N} . Find : (i) A cup B and (A cup B) cup C (ii) B cup C and A cup (B cup C) (iii) A cap B and (A cap B) cap C (iv) B cap C and A cap (B cap C) Is (A cup B) cup C = A cup (B cup C) ? Is (A cap B) cap C) = A cap (B cap C) ?

The set (A cap B')'cup (B cap C) equals a). A' cup B cup C b). A' cup B c). A'cup C d). A' cap B

The value of (A cup B cup C) cap (A cap B^(C)capC^(C)) cap C^(C) is

Given A = {0,1, 2,4, 5}, B = {0,2,4, 6, 8} and C = {0, 3, 6, 9}. Show that: (i) A cup (B cup C) = (A cup B) cup C i.e., the union of the sets is associative. (ii) A cap (B cap C) = (A cap B) cap C i.e., the intersection of sets is associative.

Show that A cap B = A cap C need not impl B=C

Prove the distributive law and De Morgan's law. (i) A cap (B cup C)=(A cap B)cup(A cap C) (ii) (A cup B)'=A' cap B'