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Batas-batas x yang memenuhi pertidaksamaan ( 2 1 ​ ) 8 + 2 x − x 2 > ( 2 1 ​ ) x + 2 adalah...

Batas-batas x yang memenuhi pertidaksamaan  adalah...

  1. open curly brackets x vertical line x space less than space minus 2 space a t a u space x space greater than space 5 close curly brackets

  2. open curly brackets x vertical line x space less than space minus 2 space a t a u space x greater than space 3 close curly brackets

  3. open curly brackets x vertical line x space less than space minus 3 space a t a u space x space greater than space 2 close curly brackets

  4. open curly brackets x vertical line minus 2 space less than space x less than space 3 close curly brackets

  5. open curly brackets x vertical line minus 3 space less than space x less than space 5 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 vertical line x space less than space minus 2 space a t a u space x greater than space 3 close curly brackets

Pembahasan

Nilai x yang memenuhi adalah Jadi, nilai x yang memenuhi adalah

Nilai x yang memenuhi adalah

open parentheses 1 half close parentheses to the power of 8 plus 2 x minus x squared end exponent space greater than space open parentheses 1 half close parentheses to the power of x plus 2 end exponent 2 to the power of negative 1 left parenthesis 8 plus 2 x minus x to the power of 2 right parenthesis end exponent end exponent space greater than space 2 to the power of negative 1 left parenthesis x plus 2 right parenthesis end exponent 2 to the power of x squared minus 2 x minus 8 space end exponent greater than space 2 to the power of negative x minus 2 end exponent x squared space minus space 2 x space minus space 8 space greater than space minus x space minus 2 x squared space minus space x space minus space 6 space greater than space 0 left parenthesis x minus 3 right parenthesis left parenthesis x plus 2 right parenthesis greater than 0 x equals 3 space a t a u space x equals space minus 2

Jadi, nilai x yang memenuhi adalah open curly brackets x vertical line x space less than space minus 2 space a t a u space x greater than space 3 close curly brackets

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