Question: EXERCISES 8C 40 EXERCISES 8C 1. Use the first four implication rules to complete the proofs. Provide the justi- fication for each step that you

EXERCISES 8C 40 EXERCISES 8C 1. Use the first four implication rules to complete the proofs. Provide the justi- fication for each step that you derive. [1] 1. ~ (P. Q) Self-Prac 2 . ~ ( R . S ) = ( I . ~ Q ) Quest 3 . ( R . S ) = ( P . Q ) / L. ~ Q Answer: 4. ~ (R . S) 1, 3, MT 5. L . - Q 2, 4, MP [2] 1. P-Q 2. RDP 13. - Q 1 ~ R [3] 1. P 2. R- Q 3. P - - Q 1 ~ R [4] 1. S= (P. Q) 2. (P . Q)OR 3. ~ R 1 - S *[5] 1. ~ P= (QVR) 2. ( - P = ~ S ) - -L 3. ( Q V R) = ~ S 1 ~ L [6] 1. Q 2. L= (S = P ) 3. Q- (R= S) 4. L /ROP [7] 1. P- Q 2. (P = R) = ~S 3. QR 4. ( - Q 2 ~ P) =S 1 ~ ( - Q - - P ) [8] 1. 5 - - Q 2. P-Q 3. RDS 4. R / ~ P [9] 1. RVS 2 . ~ ( PV Q ) 3. R= (PVQ) 4.S= ( QV R) / QVR

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