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I need help with these questions 13. A,b 13. Using the letters indicated for the component statements, translate the follow ing compound statements into symbolic

I need help with these questions

13. A,b

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13. Using the letters indicated for the component statements, translate the follow ing compound statements into symbolic notation. a. A: prices go up: B: housing will be plentiful: C: housing will be expensive If prices go up, then housing will be plentiful and expensive: but if housing is not expensive, then it will b. A: going to bed: B: going swimming: C: changing clothes Either going to bed or going swimming is a sufficient condition for changing clothes: however, chang c. A: it will rain; B: it will snow d. A: Janet wins; B: Janet loses; C: Janet will be tired e. A: Janet wins; B: Janet loses; C: Janet will be tired ing clothes does not mean going swimming. Either it will rain or it will snow but not both. If Janet wins or if she loses, she will be tired Either Janet will win or, if she loses, she will be tired. 14. Using the letters indicated for the component statements, translate the following compound statements into symbolic notation. a. A: the tractor wins; B: the truck wins; C: the race will be exciting. b. A: snow; B: rain; C: yesterday was cloudy c. A: Koalas will be saved; B: climate change is addressed; C: rising water levels Whether the tractor wins or the truck wins, the race will be exciting Yesterday was cloudy but there was neither snow nor rain. Koalas will be saved only if climate change is addressed; furthermore, failure to address limate change will cause rising water levels. The city's economy will improve conditional upon a strong school system. A strong school system is a necessary condition for the city's economy to improve. d. A: the city's economy will improve; B: a strong school system e. A: the city's economy will improve; B: a strong school system 15. Let A, B, and C be the following statements: A Roses are red. B Violets are blue. C Sugar is sweet. Translate the following compound statements into symbolic notation. a. Roses are red and violets are blue. Roses are red, and either violets are blue or sugar is sweet

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