1. Prove (An B) SAUB No. 1. 2. 3. 4. 5. 6. 7. Statement EAN B rEA and EB 2. EA or re B Reason Given 1. Simplification (2) 3. Definition of union. If re AnB then a EAUB By hypothetical syllogism (1,5) AOBCAUB 5.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Part III. Proving
1
1. Prove (An B) CAUB
No.
1.
2.
3.
4.
5.
6.
7.
Statement.
TEAN B
E A and B
2.
EA or reB
Reason
Given
1.
Simplification (2)
3.
4.
Definition of union
If re AnB then a € AUB By hypothetical syllogism (1,5)
AnBCAUB
5.
Transcribed Image Text:Part III. Proving 1 1. Prove (An B) CAUB No. 1. 2. 3. 4. 5. 6. 7. Statement. TEAN B E A and B 2. EA or reB Reason Given 1. Simplification (2) 3. 4. Definition of union If re AnB then a € AUB By hypothetical syllogism (1,5) AnBCAUB 5.
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