Question
Solve the inequations: $-1<3-\frac{x}{5} \leq 1$

Answer

$-1<3-\frac{x}{5} \leq 1$
Subtracting 3 from both sides, we get
$-4<-\frac{x}{5}<-2$ Multiplying by -1 throughout (so inequality sign changes) $\therefore 4>\frac{x}{5}>2$ i.e., $2<\frac{x}{5}<4$
Multiplying by 5 on both sides, we get
$
10<x<20
$
i.e., $x$ takes all real values between 10 and 20 .
$\therefore$ the solution set is $(10,20)$

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