Pertanyaan

Selesaikan dan tulislah HP dari setiap PtRLK berikut. b. x − 3 x − 4 ≥ x − 1 x − 2

Selesaikan dan tulislah HP dari setiap PtRLK berikut.

b. $\frac{x - 4}{x - 3} \geq \frac{x - 2}{x - 1}$

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

penyelesaian dari PtRLK adalah .

penyelesaian dari PtRLK $fraction numerator x minus 4 over denominator x minus 3 end fraction greater or equal than fraction numerator x minus 2 over denominator x minus 1 end fraction$ adalah 1 less than x less than 3

Pembahasan

Pertidaksamaan Nilai nol Penyebut: Garis bilangan: Jadi, penyelesaian dari PtRLK adalah .

Pertidaksamaan

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

Nilai nol

Penyebut:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x minus 3 close parentheses open parentheses x minus 1 close parentheses end cell equals 0 row x equals cell 3 rightwards double arrow x not equal to 3 end cell row x equals cell 1 rightwards double arrow x not equal to 1 end cell end table

Garis bilangan:

Jadi, penyelesaian dari PtRLK $fraction numerator x minus 4 over denominator x minus 3 end fraction greater or equal than fraction numerator x minus 2 over denominator x minus 1 end fraction$ adalah 1 less than x less than 3 .