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Pertanyaan

Himpunan penyelesaian pertidaksamaan x 3 ​ < x − 2 adalah...

Himpunan penyelesaian pertidaksamaan  adalah...

  1. open curly brackets x element of R comma space x less than negative 1 space a t a u space x greater than 2 close curly brackets

  2. open curly brackets x element of R comma space x less than negative 1 space a t a u space 0 less than x less than 3 close curly brackets

  3. open curly brackets x element of R comma space x less than 0 space a t a u space x greater than 2 close curly brackets

  4. open curly brackets x element of R comma space minus 1 less than x less than 0 space a t a u space x greater than 3 close curly brackets

  5. open curly brackets x element of R comma space x less than negative 1 space a t a u space x greater than 0 close curly brackets

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

nilai x yang memenuhi adalah

nilai x yang memenuhi adalah open curly brackets x element of R comma space minus 1 less than x less than 0 space a t a u space x greater than 3 close curly brackets

Pembahasan

Buat garis bilangannya : Jadi, nilai x yang memenuhi adalah

3 over x less than x minus 2 3 over x minus open parentheses x minus 2 close parentheses less than 0 rightwards arrow s a m a k a n space p n y e b u t n y a 3 over x minus fraction numerator x squared plus 2 x over denominator x end fraction less than 0 fraction numerator negative x squared plus 2 x plus 3 over denominator x end fraction less than 0 fraction numerator x squared minus 2 x minus 3 over denominator x end fraction greater than 0 fraction numerator open parentheses x plus 1 close parentheses open parentheses x minus 3 close parentheses over denominator x end fraction greater than 0 x equals negative 1 semicolon x equals 3 semicolon d a n space x equals 0 rightwards arrow S y a r a t space p e n y e b u t space x not equal to 0

Buat garis bilangannya :

Jadi, nilai x yang memenuhi adalah open curly brackets x element of R comma space minus 1 less than x less than 0 space a t a u space x greater than 3 close curly brackets

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