Question Number 88555 by M±th+et£s last updated on 11/Apr/20
$${slove}\: \\ $$$$\lceil\frac{{x}}{{a}}\rceil<{a}\:\:\: \\ $$$${when}\:{a}>\mathrm{1} \\ $$$$\lceil…\rceil\:{is}\:{ceil}\:{function} \\ $$
Answered by mr W last updated on 11/Apr/20
$$\lceil\frac{{x}}{{a}}\rceil={n}<{a} \\ $$$$\lceil\frac{{x}}{{a}}\rceil={n}<\lceil{a}\rceil−\mathrm{1} \\ $$$$\frac{{x}}{{a}}\leqslant{n} \\ $$$${x}\leqslant{na}<\left(\lceil{a}\rceil−\mathrm{1}\right){a} \\ $$$$\Rightarrow{solution}\:{is}\:{x}<\left(\lceil{a}\rceil−\mathrm{1}\right){a} \\ $$
Commented by M±th+et£s last updated on 11/Apr/20
$${god}\:{bless}\:{you}\:{sir} \\ $$