Kim An

tìm GTNN của biểu thức A = | x - 2021| + |x - 1|

Mai Anh
1 tháng 1 2022 lúc 10:49

T a space c ó colon space A equals open vertical bar x minus 2021 close vertical bar plus open vertical bar x minus 1 close vertical bar equals open vertical bar 2021 minus x close vertical bar plus open vertical bar x minus 1 close vertical bar
equals greater than A greater or equal than open vertical bar 2021 minus x plus x minus 1 close vertical bar equals open vertical bar 2020 close vertical bar equals 2020 space v ớ i space m ọ i space x
D ấ u space equals space x ả y space r a space less than equals greater than open curly brackets table attributes columnalign left end attributes row cell 2021 minus x greater or equal than 0 end cell row cell x minus 1 greater or equal than 0 end cell end table less than equals greater than open curly brackets table attributes columnalign left end attributes row cell x less or equal than 2021 end cell row cell x greater or equal than 1 end cell end table close close
less than equals greater than 1 less or equal than x less or equal than 2021
V ậ y space v ớ i space 1 less or equal than x less or equal than 2021 space t h ì space A space c ó space G T N N equals 2020

Nguyễn Lê Phước Thịnh
1 tháng 1 2022 lúc 10:50

Tham khảo:

T a space c ó colon space A equals open vertical bar x minus 2021 close vertical bar plus open vertical bar x minus 1 close vertical bar equals open vertical bar 2021 minus x close vertical bar plus open vertical bar x minus 1 close vertical bar
equals greater than A greater or equal than open vertical bar 2021 minus x plus x minus 1 close vertical bar equals open vertical bar 2020 close vertical bar equals 2020 space v ớ i space m ọ i space x
D ấ u space equals space x ả y space r a space less than equals greater than open curly brackets table attributes columnalign left end attributes row cell 2021 minus x greater or equal than 0 end cell row cell x minus 1 greater or equal than 0 end cell end table less than equals greater than open curly brackets table attributes columnalign left end attributes row cell x less or equal than 2021 end cell row cell x greater or equal than 1 end cell end table close close
less than equals greater than 1 less or equal than x less or equal than 2021
V ậ y space v ớ i space 1 less or equal than x less or equal than 2021 space t h ì space A space c ó space G T N N equals 2020


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