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Prove (An B) SAUB

Prove (An B) SAUB

Advanced Engineering Mathematics
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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Plz answer part 3 complete In 20 Mints it's very urgent plzzzzz
Part II Construct the Venn diagram of the following sets under the universal set U and do what is asked. U={ne Z-3 ≤ n ≤ 10} A = {n EU|n² <3} B = {n EU|n² 2 2} Use the tabular method to to prove the following in general: 1. (ANB) S (AUB) 2. ΑΔΒ = ΒΔΑ. Part III. Proving 1. Prove (An B) CAUB No. 1. 2. = 3. 7 4. 5. 6. 7. Statement 1EAN B rEA and zB A or B Definition of union If z € An B then z € AUB By hypothetical syllogism (1,5) AnBCAUB Reason Given Simplification (2) 3.
Transcribed Image Text:Part II Construct the Venn diagram of the following sets under the universal set U and do what is asked. U={ne Z-3 ≤ n ≤ 10} A = {n EU|n² <3} B = {n EU|n² 2 2} Use the tabular method to to prove the following in general: 1. (ANB) S (AUB) 2. ΑΔΒ = ΒΔΑ. Part III. Proving 1. Prove (An B) CAUB No. 1. 2. = 3. 7 4. 5. 6. 7. Statement 1EAN B rEA and zB A or B Definition of union If z € An B then z € AUB By hypothetical syllogism (1,5) AnBCAUB Reason Given Simplification (2) 3.
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