SOLUTION: Use all 18 rules
1. ∼(U ● W ) ⊃ X
2. U ⊃ ∼U / ∼(U v ∼X )
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Question 1205072: Use all 18 rules
1. ∼(U ● W ) ⊃ X
2. U ⊃ ∼U / ∼(U v ∼X )
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
I'll use the ampersand symbol & in place of the dot.
I'll use the arrow --> in place of the horseshoe.
| Number | Statement | Line(s) Used | Reason |
| 1 | ~(U & W) --> X | | |
| 2 | U --> ~U | | |
| :. | ~(U v ~X) | | |
| 3 | ~U v ~U | 2 | Material Implication |
| 4 | ~U | 3 | Tautology |
| 5 | ~U v ~W | 4 | Addition |
| 6 | ~(U & W) | 5 | De Morgan’s Law |
| 7 | X | 1, 6 | Modus Ponens |
| 8 | ~U & X | 4, 7 | Conjunction |
| 9 | ~(U v ~X) | 8 | De Morgan’s Law |
Here is the list of the rules of inference and rules of replacement
https://www.algebra.com/algebra/homework/Conjunction/logic-rules-of-inference-and-replacement.lesson
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