Question

If A × B = { (3,2), (3,4), (5,2), (5,4) } then find A and B.

• A. A = {3,5}
  B = {2,4}
• B. A = {5,3}
  B = {4,2}
• C. A = {4,2}
  B = {5,3}
  
• D. A = {5,2}
  B = {4,3}

Answer 1

The correct option is A A = {3,5}

B = {2,4}
Given: A × B ={(3,2), (3,4), (5,2), (5,4)}
A = {set of all first coordinates of elements of A × B }
$\therefore$ A = {3,5}
B = {set of all second coordinates of elements of A × B }
$\therefore$ B = {2,4}
Thus, A = {3,5} and B = {2,4}.