Pertanyaan

Nilai x yang memenuhi pertidaksamaan x + 1 x + 1 > x − 1 x adalah ...

Nilai x yang memenuhi pertidaksamaan $\frac{x + 1}{x + 1} > \frac{x}{x - 1}$ adalah ...

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Habis dalam

Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

penyelesaiannya adalah

Pembahasan

Buat garis bilangan : Jadi penyelesaiannya adalah

$fraction numerator x plus 1 over denominator x plus 1 end fraction greater than fraction numerator x over denominator x minus 1 end fraction fraction numerator x plus 1 over denominator x plus 1 end fraction minus fraction numerator x over denominator x minus 1 end fraction greater than 0 rightwards arrow s a m a k a n space p e n y e b u t fraction numerator open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses minus x open parentheses x plus 1 close parentheses over denominator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end fraction greater than 0 fraction numerator x squared minus 1 minus x squared minus x over denominator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end fraction greater than 0 fraction numerator negative open parentheses x plus 1 close parentheses over denominator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end fraction greater than 0 rightwards arrow k a l i k a n minus 1 fraction numerator x plus 1 over denominator open parentheses x plus 1 close parentheses open parentheses x minus 1 close parentheses end fraction less than 0 P e m b u a t space n o l colon x plus 1 equals 0 space space space space space space space space space a t a u space space space space space space x minus 1 equals 0 space space space space space space x equals negative 1 space space space space space space space space space space space space space space space space space space space space space space space space space x equals 1 space S y a r a t colon space p e n y e b u t space t i d a k space b o l e h space n o l comma space m a k a colon x plus 1 not equal to 0 space space space space space space space space space a t a u space space space space space space x minus 1 not equal to 0 space space space space space space x not equal to negative 1 space space space space space space space space space space space space space space space space space space space space space space space space space x not equal to 1$

Buat garis bilangan :