Question

Solve the following inequation:$-\frac{1}{5}\le \frac{3x}{10}+1<\frac{2}{5}$
[4 MARKS]

Answer 1

Steps: 2 Marks
Calculations: 1 Mark
Answer: 1 Mark

$-\frac{1}{5}\le \frac{3x}{10}+1<\frac{2}{5}.\Rightarrow -\frac{1}{5}\le \frac{3x}{10}+1<\frac{2}{5}\Rightarrow -2\le 3x+10<4\Rightarrow -2-10\le 3x+10-10<4-10\Rightarrow -12\le 3x<-6\Rightarrow -4\le x<-2$
So, the solution set is $\{x:x\epsilon R,-4\le x<-2\}$