Question

If G={7,8} and H={5,4,2} find G×H and H×G

Answer 1

G×H = [ (7,5) (7,4) (7,2) (8,5) (8,4) (8,2) ]
H×G = [ (5,7) (5,8) (4,7) (4,8) (2,7) (2,8) ]
hope it helps ...plz mark brainliest

Answer 2

Whenever we do this operation between two sets, we essentially list all pairs possible between two sets. So what we do is, we take first element of L.H.S. and then pair it up with all elements of R.H.S. (here L.H.S. is G and R.H.S. is H, when operating G×H)
So, we come up with these pairs.

G×H = { (7,5), (7,4), (7,2), (8,5), (8,4), (8,2) }

H×G = { (5,7), (5,8), (4,7), (4,8), (2,7), (2,8) }

Remember these rules while pairing up :

1. G×H is not equal to G×H
2. (a,b) is not equal to (b,a)
3. If any pair occurs more than once remove one of them.

Hope it helps. Good Luck.