Question

Express each English statement using logical operations ∨, ∧, ¬ and the propositional variables q, p,...

Express each English statement using logical operations ∨, ∧, ¬ and the propositional variables q, p, and r defined below. The use of the word "or" means "inclusive or".

  • q: A student read 25 or more books this year.
  • p: A student completed more than 50 CodeFight.com challenges.
  • r: A student achieved a 4.0 GPA.
  1. A student read less than 20 books this year, and she still achieved a 4.0 GPA.
  2. A student did not complete more than 50 CodeFight.com challenges nor did he achieve a 4.0 GPA, but he read 30 books this year.
  3. A student must complete more than 50 CodeFight.com challenges or read at least 25 books this year.
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