Question 29

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Jambmaths question: 

What are the integral values of x which satisfy the inequality $-1<3-2x\le 5$

Option A: 

–1, 0,1,2

Option B: 

–2,1, 0, –1

Option C: 

0,1, 2

Option D: 

–1,0,1

Jamb Maths Solution: 

$\begin{align}  & -1<3-2x\le 5 \\ & \text{solving inequality separately} \\ & -1<3-2x \\ & 2x<3+1 \\ & 2x<4 \\ & x<2 \\ & \text{Also} \\ & 3-2x\le 5 \\ & -2x\le 5-3 \\ & -2x\le 2 \\ & x\ge -1 \\ & \text{The range of the inequality becomes} \\ & -1\le x<2 \\ & \text{The integral of }x\text{ include }-1,0,1 \\\end{align}$

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