C. 1. p» (g v r) 2. 7 3. Therefore, p-g d. 1. -(OA (g v r)) 2. Therefore, (-p v-(g v r)) (2)3. Apply a series of logical equivalences and/or rules of inference to show that 7 -»g follows from the...


Discrete Math


I was confused about how to answer these questions ( I attached them). If you could help me with them,  I really appreciated it. Thank you.


This is the one I answered and not sure if it correct


1. p → q              4. r→p  2,3 D.S Disjunctive syllogism


2. (r V s) → p


3. ¬s


 .·. r → q 1,4 H.S Hypothetical Syllogism


C.<br>1. p» (g v r)<br>2. 7<br>3. Therefore, p-g<br>d.<br>1. -(OA (g v r))<br>2. Therefore, (-p v-(g v r))<br>(2)3. Apply a series of logical equivalences and/or rules of inference to show that 7 -»g<br>follows from the following premises. Be sure to indicate the line mumber(s) and logical<br>equivalence or rule of inference used in each step.<br>1. p-+4<br>2. v)p<br>3. -3<br>(2) 4. Use logical equivalences and rules of inference to show that -5 A (I-a)<br>follows from the following premises:<br>1. (tV t)p<br>2. 5t<br>3. p-4<br>4. -t<br>(3) 5. Write a direct proof to show that if m is an even integer then Sm+ 3 is an odd<br>integer.<br>(3)6. Write an indirect proof to show if 3m +1 is an odd integer then m is an even<br>integer.<br>

Extracted text: C. 1. p» (g v r) 2. 7 3. Therefore, p-g d. 1. -(OA (g v r)) 2. Therefore, (-p v-(g v r)) (2)3. Apply a series of logical equivalences and/or rules of inference to show that 7 -»g follows from the following premises. Be sure to indicate the line mumber(s) and logical equivalence or rule of inference used in each step. 1. p-+4 2. v)p 3. -3 (2) 4. Use logical equivalences and rules of inference to show that -5 A (I-a) follows from the following premises: 1. (tV t)p 2. 5t 3. p-4 4. -t (3) 5. Write a direct proof to show that if m is an even integer then Sm+ 3 is an odd integer. (3)6. Write an indirect proof to show if 3m +1 is an odd integer then m is an even integer.

Jun 05, 2022
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