Exercise 4: Translating Compound Statements Between English and Symbolic Form

Translate into symbolic notation: If prices go up, then housing will be plentiful and expensive; but if housing is not expensive, then it will still be plentiful. (A: prices go up; B: housing plentiful; C: housing expensive)

Translate into symbolic notation: If prices go up, then housing will be plentiful and expensive; but if housing is not expensive, then it will still be plentiful. (A: prices go up; B: housing plentiful; C: housing expensive)

Translate into symbolic notation: Yesterday was cloudy but there was neither snow nor rain. (A: snow; B: rain; C: yesterday was cloudy)

Translate into symbolic notation: Yesterday was cloudy but there was neither snow nor rain. (A: snow; B: rain; C: yesterday was cloudy)

Translate into symbolic notation: Roses are red and violets are blue. (A: Roses are red, B: Violets are blue)

Translate into symbolic notation: Roses are red and violets are blue. (A: Roses are red, B: Violets are blue)

Translate into symbolic notation: The hero is American and the movie is good. (A: Villain French, B: Hero American, C: Heroine British, D: Movie good)

Translate into symbolic notation: The hero is American and the movie is good. (A: Villain French, B: Hero American, C: Heroine British, D: Movie good)

Translate into English: B ∨ C′ (where B: Violets are blue, C: Sugar is sweet)

Translate into English: B ∧ A′ (where A: Villain is French, B: Hero is American)

Translate into symbolic notation: If the horse is fresh, then the knight will win. (H: horse is fresh, K: knight wins)

Translate into symbolic notation: If the horse is fresh, then the knight will win. (H: horse is fresh, K: knight wins)

Translate into symbolic notation: If Anita wins the election, then tax rates will be reduced. (A: Anita wins, T: tax rates reduced)

Translate into symbolic notation: If Anita wins the election, then tax rates will be reduced. (A: Anita wins, T: tax rates reduced)

Translate into symbolic notation: Plentiful fish are a sufficient condition for bears to be happy. (F: fish are plentiful, B: bears are happy)

Translate into symbolic notation: Plentiful fish are a sufficient condition for bears to be happy. (F: fish are plentiful, B: bears are happy)

Translate into symbolic notation: If the project is finished soon, then the client will be happy and the bills will be paid. (P: project finished soon, C: client happy, B: bills paid)

Translate into symbolic notation: If the project is finished soon, then the client will be happy and the bills will be paid. (P: project finished soon, C: client happy, B: bills paid)