Answer to Question #191821 in Discrete Mathematics for Liliey

Question #191821

Using Boolean algebra simplify the statement ¬(𝑟 → 𝑠) → (¬𝑟) 


1
Expert's answer
2021-05-12T01:56:40-0400

Using Boolean algebra let us simplify the statement:


"\u00ac(\ud835\udc5f \u2192 \ud835\udc60) \u2192 (\u00ac\ud835\udc5f) =\u00ac(\u00ac(\ud835\udc5f \u2192 \ud835\udc60))\\lor (\u00ac\ud835\udc5f) =(\ud835\udc5f \u2192 \ud835\udc60)\\lor (\u00ac\ud835\udc5f) =(\u00ac\ud835\udc5f\\lor \ud835\udc60)\\lor (\u00ac\ud835\udc5f) =\n(s\\lor \u00ac\ud835\udc5f)\\lor (\u00ac\ud835\udc5f) =s\\lor( \u00ac\ud835\udc5f\\lor \u00ac\ud835\udc5f) =s\\lor \u00ac\ud835\udc5f=\u00ac\ud835\udc5f\\lor s=\ud835\udc5f \u2192 \ud835\udc60."



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