JAMB Mathematics 2012 Question 17

Question 17

Inequalities

Find the range of values of m which satisfy (m − 3)(m − 4) < 0.

  1. A.2 < m < 5
  2. B.−3 < m < 4
  3. C.3 < m < 4
  4. D.−4 < m < 3
Show the answer and explanation

Answer: C (3 < m < 4)

Explanation

The product of (m − 3) and (m − 4) is negative only when m lies between the roots 3 and 4.