Use only the inference rules MP, MT, DS and HS for this quiz (You can use DN if you want, though you do not need to use it.) /~D (Note: /~D means: prove ~D) 1. 1. Cv (~D v~X) 2. ~C 3. X 2. 3. 1. AD B 2. ~B 3. ~AD (~Cv B) 1. ~ADD 2. ~Dv (~B~~~~A) 3. ~A 4. ~B /~C /~~~~A
Use only the inference rules MP, MT, DS and HS for this quiz (You can use DN if you want, though you do not need to use it.) /~D (Note: /~D means: prove ~D) 1. 1. Cv (~D v~X) 2. ~C 3. X 2. 3. 1. AD B 2. ~B 3. ~AD (~Cv B) 1. ~ADD 2. ~Dv (~B~~~~A) 3. ~A 4. ~B /~C /~~~~A
Chapter2: The Language Of Algebra
Section2.2: Evaluate, Simplify, And Translate Expressions
Problem 145E: Explain why “the sum of xand y” is the same as “the sum of yand x,” but “the difference of xand y”...
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For each proof, you must include (i.e., write) the premises in that proof. I do not want to see any proofs without premises. Do not use any transformation rules (e.g. contraposition) in your proof other than DN. Only use the eight inference rules.
YOU CANNOT USE CONDITIONAL PROOF (CP), INDIRECT PROOF (IP), OR ASSUMED PREMISES (AP). You will lose points if you use any of the inference rules Resolution, Contradiction, Transposition, Idempotence, and Identity.
Transcribed Image Text:Use only the inference rules MP, MT, DS and HS for this quiz
(You can use DN if you want, though you do not need to use it.)
/~D (Note: /~D means: prove ~D)
1.
1. Cv (~D v~X)
2. ~C
3. X
2.
3.
1. AD B
2. ~B
3. ~A (~C v B)
1. ~ADD
2. ~Dv (~B~~~~A)
3. ~A
4. ~B
/~C
/~~~~A
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