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Discrete Mathematics and Its Applications : Simplify the Expessions ( Direct Sums )

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22. Simplify these expressions (+ = + inside a circle or 'direct sum')
1. x + 0

2. x + 1

3. x + x

4. x + x-bar

For each topic, demonstrate a knowledge and capability by giving the following information:

1) Problem Solution: (solution for an even number problem)

2) Personal Observation: (personal comment on the topic including advice to others on how to study and understand it).

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Solution Summary

Direct sums are found. The applications to simplify expressions are determined.