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Nilai-nilai x yang memenuhi pertidaksamaan ∣∣​−x2+2x−2∣∣​<2 adalah ...

Pertanyaan

Nilai-nilai x yang memenuhi pertidaksamaan open vertical bar negative x squared plus 2 x minus 2 close vertical bar less than 2 adalah ...

  1. negative infinity less than x less than 2

  2. 0 less than x less than infinity

  3. negative 2 less than x less than 0

  4. 0 less than x less than 2

  5. negative 2 less than x less than 2

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

open vertical bar negative x squared plus 2 x minus 2 close vertical bar less than 2 minus 2 less than negative x squared plus 2 x minus 2 less than 2 minus 2 less than negative x squared plus 2 x minus 2 space dan space minus x squared plus 2 x minus 2 less than 2 x squared minus 2 x plus 2 minus 2 less than 0 space dan space minus x squared plus 2 x minus 2 minus 2 less than 0 x squared minus 2 x less than 0 space dan space minus x squared plus 2 x minus 4 less than 0 x squared minus 2 x less than 0 space dan space x squared minus 2 x plus 4 greater than 0 x left parenthesis x minus 2 right parenthesis less than 0 space dan space x squared minus 2 x plus 4 greater than 0 0 less than x less than 2 space dan space minus infinity less than x less than infinity

0 less than x less than 2 dan negative infinity less than x less than infinity diiriskan sehingga penyelesaiannya menjadi 0 less than x less than 2.

Jadi, jawaban yang tepat adalah D

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