Pertanyaan

Semua bilangan real x yang memenuhi x 8 − 2 x + 1 15 ≥ 1 adalah ....

Semua bilangan real x yang memenuhi $\frac{8}{x} - \frac{15}{2 x + 1} \geq 1$ adalah ....

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Klaim

R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 8 over straight x minus fraction numerator 15 over denominator 2 straight x plus 1 end fraction end cell greater or equal than cell 1 blank end cell row cell 8 over straight x minus fraction numerator 15 over denominator 2 straight x plus 1 end fraction minus 1 end cell greater or equal than cell 0 blank end cell row cell fraction numerator 8 left parenthesis 2 straight x plus 1 right parenthesis minus 15 straight x minus straight x left parenthesis 2 straight x plus 1 right parenthesis over denominator straight x left parenthesis 2 straight x plus 1 right parenthesis end fraction end cell greater or equal than 0 row cell fraction numerator 16 straight x plus 8 minus 15 straight x minus 2 straight x squared minus straight x over denominator straight x left parenthesis straight x plus 3 right parenthesis end fraction end cell greater or equal than 0 row cell fraction numerator negative 2 straight x squared plus 8 over denominator straight x left parenthesis straight x plus 3 right parenthesis end fraction end cell greater or equal than 0 row cell fraction numerator negative 2 left parenthesis straight x squared minus 4 right parenthesis over denominator straight x left parenthesis straight x plus 3 right parenthesis end fraction end cell greater or equal than 0 row cell fraction numerator negative 2 left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 2 right parenthesis over denominator straight x left parenthesis straight x plus 3 right parenthesis end fraction end cell greater or equal than 0 end table end style$

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