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1. (a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step our proof. Hint: Expand the 1 on the left with the complement property and then use the dempotent property. (b) Show the dual proof of part (a).

1. (a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step our proof. Hint: Expand the 1 on the left with the complement property and then use the dempotent property. (b) Show the dual proof of part (a).

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter6: Sensitivity Analysis And Duality
Section6.7: The Dual Theorem And Its Consequences
Problem 8P
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*1. (a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step your proof. Hint: Expand the 1 on the left with the complement property and then use the idempotent property. (b) Show the dual proof of part (a).
Transcribed Image Text:*1. (a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step your proof. Hint: Expand the 1 on the left with the complement property and then use the idempotent property. (b) Show the dual proof of part (a).
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