Home
Class 12
MATHS
If A = {1, 2, 3} and B = {4, 5}, find Ax...

If A = {1, 2, 3} and B = {4, 5}, find `AxxB`, `BxxA` and show that `AxxBneBxxA`.

Text Solution

Verified by Experts

`AxxB={1,2,3}xx{4,5}={(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}`
and `BxxA={4,5}xx{1,2,3}={(4,1),(4,2),(4,3),(5,1),(5,2),(5,3)}`
It is clear that `AxxBneBxxA`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3} and B = {3, 4, 5} . Find A′, B′ , A′ ∩ B′, A ∪ B and hence show that ( A ∪ B )′ = A′ ∩ B′ .

If A= {1, 3, 5, {2, 4}}" and "B= {2, 4} then,

Let A={1,2,3}, B={3,4} and C={4,5,6}. Find

Let A={1,2,3,4,5}, B={4,5,6,7}. Find A-B.

Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find A xx (B nn C)

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 } . Find A ∩ B and hence show that A ∩ B = B .

Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx B) nn (A xx C)

If A={1,2,3,4,5} and B={4,5,6,7}, then find A-B and B-A. Are they equal?

Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx (B uuC)

Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find (A xx B) uu (A xx C)