Carilah himpunan penyelesaian dari setiap PtNM berikut. a. ∣x+4∣≤∣2x−6∣

Pertanyaan

Carilah himpunan penyelesaian dari setiap PtNM berikut.

a. open vertical bar x plus 4 close vertical bar less or equal than open vertical bar 2 x minus 6 close vertical bar 

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

himpunan penyelesaian dari open vertical bar x plus 4 close vertical bar less or equal than open vertical bar 2 x minus 6 close vertical bar adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets right enclose x x less or equal than 2 over 3 space atau space x greater or equal than 10 close curly brackets end cell end table 

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar x plus 4 close vertical bar end cell less or equal than cell open vertical bar 2 x minus 6 close vertical bar end cell row cell left parenthesis left parenthesis x plus 4 right parenthesis plus left parenthesis 2 x minus 6 right parenthesis right parenthesis left parenthesis left parenthesis x plus 4 right parenthesis minus left parenthesis 2 x minus 6 right parenthesis right parenthesis end cell less or equal than 0 row cell left parenthesis x plus 4 plus 2 x minus 6 right parenthesis left parenthesis x plus 4 minus 2 x plus 6 right parenthesis end cell less or equal than 0 row cell left parenthesis 3 x minus 2 right parenthesis left parenthesis negative x plus 10 right parenthesis end cell less or equal than 0 row x less or equal than cell 2 over 3 space atau space x greater or equal than 10 end cell end table

Jadi, himpunan penyelesaian dari open vertical bar x plus 4 close vertical bar less or equal than open vertical bar 2 x minus 6 close vertical bar adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open curly brackets right enclose x x less or equal than 2 over 3 space atau space x greater or equal than 10 close curly brackets end cell end table 

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