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WAEC Further Mathematics 2019 Question 10

Question 10

Sets and Logic

Consider the following statements: p: Birds fly
q: The sky is blue
r: The grass is green
What is the symbolic representation of "If the grass is green and the sky is not blue, then the birds do not fly"?

  1. A.(r ∧ p) ⇒ q
  2. B.(r ∧ q) ⇒ ~p
  3. C.(r ∧ ~q) ⇒ ~p
  4. D.(r ∧ ~p) ⇒ ~q
Show the answer and explanation

Answer: C ((r ∧ ~q) ⇒ ~p)

Explanation

'Grass is green and sky is not blue' is r ∧ ~q; 'birds do not fly' is ~p. So (r ∧ ~q) ⇒ ~p.