Question 17

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Jambmaths question: 

Find the range of values of m which satisfy  $(m-3)(m-4)<0$

Option A: 

$2<m<5$

Option B: 

$-3<m<4$

Option C: 

$3<m<4$

Option D: 

$-4<m<3$

Jamb Maths Solution: 

Draw what I call a range table to determine this condition will be satisfied.

 

m < 3

3 < m < 4

m > 4

m – 3

+

+

m – 4

+

(m – 3)( m – 4)

+

+

Since the range 3 < m < 4 gives a negative value., the inequality $(m-3)(m-4)<0$ is true within this range. The others gives a positive value, so we ignore them

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