Answer
$\frac{a-c}{b}\leq x\lt \frac{2a-c}{b}$
Work Step by Step
$a\leq bx+c<2a$
We subtract $c$ from all sides:
$\displaystyle a-c\leq bx\lt 2a-c$
And divide by $b$:
$\frac{a-c}{b}\leq x\lt \frac{2a-c}{b}$
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