Let A and 8 be any sets. Then (A - (A N B) n (8 - (An5) - - (4ก (A ก อ) ก (8n (An ๒) - an(anosn(ancana) an(canorna)ncans) -an(ancanor)ncano) - an(sn(anasncano) -an(ancanay) by the set difference law ---Select--- by a commutative law by an associative law by a distributive law by a complement lavw by an idempotent law by the set difference law by an identity law by an associative law -Select-- = (AN B) N (A N B) by a complement law -Select--
Let A and 8 be any sets. Then (A - (A N B) n (8 - (An5) - - (4ก (A ก อ) ก (8n (An ๒) - an(anosn(ancana) an(canorna)ncans) -an(ancanor)ncano) - an(sn(anasncano) -an(ancanay) by the set difference law ---Select--- by a commutative law by an associative law by a distributive law by a complement lavw by an idempotent law by the set difference law by an identity law by an associative law -Select-- = (AN B) N (A N B) by a complement law -Select--
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Simplify the given expression. Cite a property from Theorem 6.2.2 for each step.
(A - (AN B) n (8 - (A n B)
Let A and 8 be any sets. Then
(A - (AN B) n (B -
- (A N B) =
- (ancana) n(3ncanBy)
by the set difference law v
--Select---
by a commutative law
by an associative law
by a distributive law
by a complement law
by an idempotent law
by the set difference law
by an identity law
- An((An B)E n (8n (An B))
= An(((AN B)
an(sncano)ncan)
= An((Br
= An(Bn((AN B)en (AN B)<)
by an associative law
- An (an (An By)
= (AN B) n (AN B)°
= Ø
---Select--
by a complement law
|---Select--
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