WAEC Further Mathematics 2015 Question 20

Question 20

Sets and Logic

Given the statements: p : the subject is difficult. q: I will do my best. Which of the following is equivalent to "Although the subject is difficult, I will do my best".

  1. A.p ∨ q
  2. B.~p ∨ q
  3. C.p ∧ ~q
  4. D.p ∧ q
Show the answer and explanation

Answer: D (p ∧ q)

Explanation

'Although … ,' joins two statements that are both true, so it means 'and': p ∧ q.