Directions. Translate the 5 statements below into symbolic notation using the fo

Question

Directions. Translate the 5 statements below into symbolic notation using the following translation dictionary: F = France will have an increase in tourism; B = Belgium will leave the European Union; S = Spain will have an increase in tourism;

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

1. France and Spain will both have an increase in tourism if Belgium leaves the European Union.

2. Spain will have an increase in tourism provided that Belgium leaves the European Union.

3. Neither will France see an increase in tourism nor will Belgium leave the European Union.

4. Even though Belgium will not leave the European Union, Spain will see an increase in tourism.

5. Either Belgium will leave the European Union or it won’t; but it won’t both leave and not leave the European Union.   

Explanation / Answer

1- F&S ->B

2- S vB

3- ~f~B

4- <-> B S

5- v B ~ -> B & ~B

its quite confusing but I did the best I can do.

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