Selesaikan dan tulislah HP dari setiap PtRLK berikut. c. x−1x+2​>3(x+1x+2​)−2

Pertanyaan

Selesaikan dan tulislah HP dari setiap PtRLK berikut.

c. fraction numerator x plus 2 over denominator x minus 1 end fraction greater than 3 open parentheses fraction numerator x plus 2 over denominator x plus 1 end fraction close parentheses minus 2 

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

penyelesaian dari PtRLK fraction numerator x plus 2 over denominator x minus 1 end fraction greater than 3 open parentheses fraction numerator x plus 2 over denominator x plus 1 end fraction close parentheses minus 2 adalah x less than negative 1    atau    thin space x greater than 1.

Pembahasan

  • Pertidaksamaan

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x plus 2 over denominator x minus 1 end fraction end cell greater than cell 3 times open parentheses fraction numerator x plus 2 over denominator x plus 1 end fraction close parentheses minus 2 end cell row cell fraction numerator x plus 2 over denominator x minus 1 end fraction end cell greater than cell fraction numerator 3 open parentheses x plus 2 close parentheses over denominator x plus 1 end fraction minus 2 end cell row cell fraction numerator x plus 2 over denominator x minus 1 end fraction end cell greater than cell fraction numerator negative 2 open parentheses x plus 1 close parentheses plus 3 open parentheses x plus 2 close parentheses over denominator x plus 1 end fraction end cell row cell fraction numerator x plus 2 over denominator x minus 1 end fraction end cell greater than cell fraction numerator x plus 4 over denominator x plus 1 end fraction end cell row cell fraction numerator open parentheses x plus 2 close parentheses open parentheses x plus 1 close parentheses minus open parentheses x plus 4 close parentheses open parentheses x minus 1 close parentheses over denominator open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses end fraction end cell greater than 0 row cell fraction numerator 6 over denominator open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses end fraction end cell greater than 0 row cell fraction numerator 1 over denominator open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses end fraction end cell greater than 0 end table  

  • Nilai nol 

Penyebut: 

 table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses end cell equals 0 row cell x squared minus 1 end cell equals 0 row cell x squared end cell equals 1 row x not equal to cell 1 comma space x not equal to negative 1 end cell end table 

Garis bilangan:



Jadi, penyelesaian dari PtRLK fraction numerator x plus 2 over denominator x minus 1 end fraction greater than 3 open parentheses fraction numerator x plus 2 over denominator x plus 1 end fraction close parentheses minus 2 adalah x less than negative 1    atau    thin space x greater than 1.

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