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WAEC Further Mathematics 2020 Question 40

Question 40

Sets and Logic

Consider the statements:
x: Birds fly
y: The sky is blue
Which of the following statements can be represented as x ⇔ y?

  1. A.When birds fly, the sky is blue
  2. B.Birds fly if and only if the sky is blue.
  3. C.Either the bird is flying or the sky is blue.
  4. D.When the sky is blue, the bird flies.
Show the answer and explanation

Answer: B (Birds fly if and only if the sky is blue.)

Explanation

⇔ means 'if and only if', so x ⇔ y is 'Birds fly if and only if the sky is blue'.