Pertanyaan

Himpunan penyelesaian dari pertidaksamaan ∣ 2 x − 1 ∣ < 3 x + 2

Himpunan penyelesaian dari pertidaksamaan $∣ 2 x - 1 ∣ < 3 x + 2$

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Jawaban terverifikasi

Jawaban

dengan kata lain .

HP equals open curly brackets x vertical line x greater than negative 3 space intersection x greater than negative 1 fifth comma space x element of R close curly brackets

dengan kata lain HP equals open curly brackets x vertical line x greater than negative 1 fifth comma space x element of R close curly brackets

Pembahasan

Ingat Sehingga jadi dan Sehingga dengan kata lain .

Ingat open vertical bar f open parentheses x close parentheses close vertical bar less than g open parentheses x close parentheses rightwards double arrow space f open parentheses x close parentheses less than g open parentheses x close parentheses space dan space f open parentheses x close parentheses greater than negative g open parentheses x close parentheses

Sehingga

begin mathsize 12px style open vertical bar 2 x minus 1 close vertical bar less than 3 x plus 2 space rightwards double arrow space open parentheses 2 x minus 1 close parentheses less than open parentheses 3 x plus 2 close parentheses space dan space open parentheses 2 x minus 1 close parentheses greater than negative open parentheses 3 x plus 2 close parentheses end style

jadi

table attributes columnalign right center left columnspacing 0px end attributes row cell space open parentheses 2 x minus 1 close parentheses end cell less than cell open parentheses 3 x plus 2 close parentheses space end cell row cell negative 1 minus 2 end cell less than cell 3 x minus 2 x end cell row cell negative 3 end cell less than x row x greater than cell negative 3 end cell end table

dan

Sehingga HP equals open curly brackets x vertical line x greater than negative 3 space intersection x greater than negative 1 fifth comma space x element of R close curly brackets dengan kata lain .