1. Suppose that A , B and C are sets. Show that A \ (B U C) (A \ B) n (A \ C).
1 answer:
Step-by-step explanation:
We want to show that
To prove it we just use the definition of
So, we start from the left hand side :
(by definition )
(by DeMorgan's laws)
(since intersection is associative )
(since intersecting once or twice A doesn't make any difference)
(since again intersection is associative )
(by definition )
And so we have reached our right hand side.
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Step-by-step explanation:
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