Answer
$x\geq\frac{c}{a}+\frac{c}{b}$
Work Step by Step
$a(bx-c)\geq bc$
We divide by $a$:
$bx-c\geq\frac{bc}{a}$
Next we add $c$:
$bx\geq\frac{bc}{a}+c$
And divide by $b$:
$x\geq\frac{1}{b}(\frac{bc}{a}+c)$
$x\geq\frac{c}{a}+\frac{c}{b}$