If A × B ={(p, q),(p, r), (m, q), (m, r)}, find A and B.

Question

anonymous · Answer

i can help you if you help me

anonymous · Answer

with some math

amistre64 · Answer

define 'and'

amilapsn · Answer

This is just using the definition of the Cartesian product of sets

mathmath333 · Answer

define and ??

amistre64 · Answer

define AnB?  or define the set A, and define the set B?

amilapsn · Answer

I think here and isn't mathematical $\cap$

amistre64 · Answer

the set "A and B" is ambiguous

mathmath333 · Answer

answer is given as

A = set of first elements = {p, m}
B = set of second elements = {q, r}.

i dont know how that came ?

amistre64 · Answer

stack the ordered pairs, A is on the left, and B is on the right by definition of their cross operation

amistre64 · Answer

youll see that A has 2 elements, and B has 2 elements ...

amilapsn · Answer

It's just definition of catesian product of sets dr

mathmath333 · Answer

yes but how to see that in reverse

amilapsn · Answer

mathmath333 · Answer

ok

amilapsn · Answer

(y)

mathmath333 · Answer

m still confused

amilapsn · Answer

Just take A={1,2,3} and B={4,5,6} for instance...

amilapsn · Answer

k?

amilapsn · Answer

then what would A x B be?

amilapsn · Answer

By observing that you'll be able to figure out the reverse.... Cheers!!