Tentukan himpunan penyelesaian dari setiap pertidaksamaan nilai mutlak di bawah ini. e. ∣∣​x2−3x−5∣∣​​≥​5​

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Tentukan himpunan penyelesaian dari setiap pertidaksamaan nilai mutlak di bawah ini.

e. table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x squared minus 3 x minus 5 close vertical bar end cell greater or equal than 5 end table  

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

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himpunan penyelesaian dari pertidaksamaan table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x squared minus 3 x minus 5 close vertical bar end cell greater or equal than 5 end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank greater or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table 

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x squared minus 3 x minus 5 close vertical bar end cell greater or equal than 5 row cell x squared minus 3 x minus 5 end cell less or equal than cell negative 5 space atau space x squared minus 3 x minus 5 greater or equal than 5 end cell row cell x squared minus 3 x minus 5 plus 5 end cell less or equal than cell 0 space atau space x squared minus 3 x minus 5 minus 5 greater or equal than 0 end cell row cell x squared minus 3 x end cell less or equal than cell 0 space atau space x squared minus 3 x minus 10 greater or equal than 0 end cell row cell x left parenthesis x minus 3 right parenthesis end cell less or equal than cell 0 space atau space left parenthesis x plus 2 right parenthesis left parenthesis x minus 5 right parenthesis greater or equal than 0 end cell row 0 less or equal than cell x less or equal than 3 space atau space x less or equal than negative 2 space atau space x greater or equal than 5 end cell row x less or equal than cell negative 2 space space atau space 0 less or equal than x less or equal than 3 space atau space x greater or equal than 5 end cell end table

Jadi, himpunan penyelesaian dari pertidaksamaan table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x squared minus 3 x minus 5 close vertical bar end cell greater or equal than 5 end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank less or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank atau end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank greater or equal than blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table 

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