Question 7

loading...

Prev/Next links

waecmaths question: 

Which of the following number lines represents the solution to the inequality: $-9\le \tfrac{2}{3}x-7<5$

Option A: 

Option B: 

Option C: 

Option D: 

waecmaths solution: 

$\begin{align}  & -9\le \tfrac{2}{3}x-7<5 \\ & -9+7\le \tfrac{2}{3}x<5+7\text{     }\!\!\{\!\!\text{ Add 7 to both sides }\!\!\}\!\!\text{ } \\ & \text{-2}\le \tfrac{2}{3}x<12 \\ & -6\le 2x<36\text{   }\!\!\{\!\!\text{ multiply both sides by }3\} \\ & -3\le x<18 \\\end{align}$Option D

maths year: 
maths topics: