Question

1. Consider the sets A = (1,2) and B = {2,3,4
(a) Find AXB
[b] Obtain (AX B) n (B X A)
(c) Find A X A X A​

Answer 1

Step-by-step explanation:

A = { 1, 2 } B = { 2, 3, 4 }

A×B = { (1,2), (1,3), (1,4), (2,2), (2,3), (2,4) }

Obtain (AX B) n (B X A)

A×B = { (1,2), (1,3), (1,4), (2,2), (2,3), (2,4) }

B×A = { (2,1), (2,2), (3,1), (3,2), (4,1), (4,2) }

(AX B) n (B X A) = { (2,2) }

A×A×A

A×A×A = { (1,1,1), (1,1,2), (1,2,1), (1,2,2), (2,1,1), (2,1,2), (2,2,1), (2,2,2) }