Question

Prove that
(A U B) U C = A U (B U C)​

Answer 1

Answer:

A = {1,2,3} , B = {4,5,6} , C = {7,8,9}

L.H.S = (AuB)uC

= ({1,2,3}u{4,5,6}) u {7,8,9}

= {1,2,3,4,5,6} u {7,8,9}

= {1,2,3,4,5,6,7,8,9}

R.H.S = Au(BuC)

= {1,2,3} u ({4,5,6}u{7,8,9})

= {1,2,3} u {4,5,6,7,8,9})

= {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

hope this will help u

pls mark me as brainliest

Answer 2

Answer:

Michiel Bogaert

Answered 1 year ago

All these proves are pretty easy:

you transform the opperation of sets into an boolean operation

x is element of “(A u B) u C “

←→ x is element of “(A u B)” OR x is element o C “

←→ ( x is element of A OR x is element of B) OR x is element of C

x is element of A u (B u C)

←→ …

←→ x is element of A OR (x is element of B OR x is element of C)

you use boolean rules, or just a truth table, proving

( x is element of A OR x is element of B) OR x is element of C

=

x is element of A OR ( x is element of B OR x is element of C )