Given the three simple statements: pp: The dog is purple. qq: The donkey is blue. rr: The pig is green. Write the symbolic form for the following compound statement:The dog is purple, if and only if the pig is not green or the donkey is blue.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the three simple statements:

pp: The dog is purple.
qq: The donkey is blue.
rr: The pig is green.

Write the symbolic form for the following compound statement:The dog is purple, if and only if the pig is not green or the donkey is blue.

  • (p∧∼r)←q(p∧∼r)←q
  • (p∧∼r)→∼q(p∧∼r)→∼q
  • (p∧r)→q(p∧r)→q
  • (∼p∧r)↔∼q(∼p∧r)↔∼q
  • (p↔∼r)∨q(p↔∼r)∨q
  • (∼p∧r)←∼q(∼p∧r)←∼q
  • (∼p∧r)→q(∼p∧r)→q
  • ∼p∧(r↔∼q)∼p∧(r↔∼q)
  • q→(p∨∼r)q→(p∨∼r)
  • p↔(∼r∨q)p↔(∼r∨q)
  • None of these
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