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Pertanyaan

Selesaikan dan tuliskan himpunan penyelesaian. ∣ ∣ ​ 2 x − 3 x + 2 ​ ∣ ∣ ​ < 4

Selesaikan dan tuliskan himpunan penyelesaian.

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A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

.

HP equals open curly brackets right enclose x space x less than 10 over 9 space atau space x greater than 2 close curly brackets.

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Pembahasan

Bentuk memenuhi dengan , maka: Jadi, .

Bentuk open vertical bar fraction numerator x plus 2 over denominator 2 x minus 3 end fraction close vertical bar less than 4 memenuhi open vertical bar a over b close vertical bar less than c dengan c equals 4 greater than 0, maka:


table attributes columnalign right center left columnspacing 0px end attributes row cell open square brackets left parenthesis x plus 2 right parenthesis plus 4 left parenthesis 2 x minus 3 right parenthesis close square brackets open square brackets left parenthesis x plus 2 right parenthesis minus 4 left parenthesis 2 x minus 3 right parenthesis close square brackets end cell less than 0 row cell open square brackets left parenthesis x plus 2 right parenthesis plus left parenthesis 8 x minus 12 right parenthesis close square brackets open square brackets left parenthesis x plus 2 right parenthesis minus left parenthesis 8 x minus 12 right parenthesis close square brackets end cell less than 0 row cell left parenthesis 9 x minus 10 right parenthesis left parenthesis negative 7 x plus 14 right parenthesis end cell less than 0 row cell left parenthesis 9 x minus 10 right parenthesis left parenthesis 7 x minus 14 right parenthesis end cell greater than 0 row x less than cell 10 over 9 space atau space x greater than 2 end cell end table


Jadi, HP equals open curly brackets right enclose x space x less than 10 over 9 space atau space x greater than 2 close curly brackets.

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