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Question Number 87093 by M±th+et£s last updated on 02/Apr/20

⌊((x−1)/4)⌋+⌊((x−2)/3)⌋=⌊((x−3)/2)⌋

$$\lfloor\frac{{x}−\mathrm{1}}{\mathrm{4}}\rfloor+\lfloor\frac{{x}−\mathrm{2}}{\mathrm{3}}\rfloor=\lfloor\frac{{x}−\mathrm{3}}{\mathrm{2}}\rfloor \\ $$

Commented by M±th+et£s last updated on 02/Apr/20

slove the equation

$${slove}\:{the}\:{equation} \\ $$

Commented by MJS last updated on 02/Apr/20

similar to qu. 86009

$$\mathrm{similar}\:\mathrm{to}\:\mathrm{qu}.\:\mathrm{86009} \\ $$

Commented by M±th+et£s last updated on 02/Apr/20

yes sir thank you

$${yes}\:{sir}\:{thank}\:{you} \\ $$

Commented by MJS last updated on 02/Apr/20

I get for x∈Z  x∈{−10, −7, −6, −4, −3, −2, −1, 0, 1, 3, 4, 7}  for x∈R these intervals:  [−10, −9[  [−7, −5[  [−4, 2[  [3, 4[  [7, 8[

$$\mathrm{I}\:\mathrm{get}\:\mathrm{for}\:{x}\in\mathbb{Z} \\ $$$${x}\in\left\{−\mathrm{10},\:−\mathrm{7},\:−\mathrm{6},\:−\mathrm{4},\:−\mathrm{3},\:−\mathrm{2},\:−\mathrm{1},\:\mathrm{0},\:\mathrm{1},\:\mathrm{3},\:\mathrm{4},\:\mathrm{7}\right\} \\ $$$$\mathrm{for}\:{x}\in\mathbb{R}\:\mathrm{these}\:\mathrm{intervals}: \\ $$$$\left[−\mathrm{10},\:−\mathrm{9}\left[\right.\right. \\ $$$$\left[−\mathrm{7},\:−\mathrm{5}\left[\right.\right. \\ $$$$\left[−\mathrm{4},\:\mathrm{2}\left[\right.\right. \\ $$$$\left[\mathrm{3},\:\mathrm{4}\left[\right.\right. \\ $$$$\left[\mathrm{7},\:\mathrm{8}\left[\right.\right. \\ $$

Commented by M±th+et£s last updated on 02/Apr/20

god bless you sir

$${god}\:{bless}\:{you}\:{sir} \\ $$

Commented by M±th+et£s last updated on 02/Apr/20

 can you show your work sir

$$\:{can}\:{you}\:{show}\:{your}\:{work}\:{sir} \\ $$

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