Question

for all sets AB and c is (AnB)UC = An (BUC)?
justify
your answer​

Answer 1

Answer:

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 )

Q.E.D.

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