[Use only the following symbols in translations: ‘&’ for conjunctions, ‘~’ for n

Question

[Use only the following symbols in translations: ‘&’ for conjunctions, ‘~’ for negations, ‘->’ for conditionals, ‘<->’ for biconditionals, ‘v’ for disjunctions.]

A. Directions. Translate the two statements below into symbolic notation using the following translation dictionary: B = Jenna will take English 323; C = Carly will take English 317; D = Jenna will take English 317; R = Jenna will write a paper on 18th Century Romanticism.

1. If Carly will take English 317 but Jenna won’t, then Jenna will take English 323.

2. Jenna taking English 323 is a sufficient condition for her to write a paper on 18th Century Romanticism

Explanation / Answer

B = Jenna will take English 323;

C = Carly will take English 317;

D = Jenna will take English 317;

R = Jenna will write a paper on 18th Century Romanticism.

If Carly will take English 317 but Jenna won’t,-(C ^ ~D)

Jenna will take English 323.->B

If Carly will take English 317 but Jenna won’t, then Jenna will take English 323.

(C ^ ~D)->B

Jenna taking English 323 is a sufficient condition for her to write a paper on 18th Century Romanticism

BA

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