Question 30

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Jambmaths question: 

Solve the inequality for which $\frac{x+4}{3}-\frac{x-3}{2}<4$

Option A: 

$x>7$

Option B: 

$x<7$

Option C: 

$x<-7$

Option D: 

$x>-7$

Jamb Maths Solution: 

$\begin{align}  & \frac{x+4}{3}-\frac{x-3}{2}<4 \\ & \frac{2(x+4)-3(x-3)}{6}<4 \\ & \frac{2x+8-3x+9}{6}<4 \\ & \frac{-x+17}{6}<4 \\ & -x+17<24 \\ & -x<7 \\ & x>-7 \\\end{align}$

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