WAEC Further Mathematics 2016 Question 4

Question 4

Sets and Logic

Consider the statements: p: Musa is short. q: Musa is brilliant. Which of the following represents the statement "Musa is short but not brilliant"?

A.p ∨ q
B.p ∨ ~q
C.p ∧ ~q
D.p ∧ q

Show the answer and explanation

Answer: C (p ∧ ~q)

Explanation

'But' means 'and', and 'not brilliant' is ~q: p ∧ ~q.