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Pertidaksamaan x−1x​+x+1x​≥1−x2 ekuivalen (setara) dengan ...

Pertanyaan

Pertidaksamaan fraction numerator x over denominator x minus 1 end fraction plus fraction numerator x over denominator x plus 1 end fraction greater or equal than 1 minus x squared ekuivalen (setara) dengan ...

  1. fraction numerator 1 over denominator left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis end fraction greater or equal than 0 

  2. fraction numerator x to the power of 4 plus 1 over denominator left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis end fraction less or equal than 0 

  3. fraction numerator 2 x squared over denominator x squared minus 1 end fraction minus open parentheses x squared minus 1 close parentheses greater or equal than 0 

  4. x left parenthesis x plus 1 right parenthesis plus x left parenthesis x minus 1 right parenthesis greater or equal than open parentheses 1 minus x squared close parentheses open parentheses x squared minus 1 close parentheses 

  5. left parenthesis x minus 1 right parenthesis left parenthesis x plus 1 right parenthesis greater or equal than 0 

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Pertidaksamaan yang ekuivalen dengan fraction numerator x over denominator x minus 1 end fraction plus fraction numerator x over denominator x plus 1 end fraction greater or equal than 1 minus x squared adalah sebagai berikut:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator x over denominator x minus 1 end fraction plus fraction numerator x over denominator x plus 1 end fraction end cell greater or equal than cell 1 minus x squared end cell row cell fraction numerator x over denominator x minus 1 end fraction plus fraction numerator x over denominator x plus 1 end fraction end cell greater or equal than cell open parentheses 1 minus x squared close parentheses end cell row cell fraction numerator x open parentheses x plus 1 close parentheses plus x open parentheses x minus 1 close parentheses over denominator open parentheses x minus 1 close parentheses open parentheses x plus 1 close parentheses end fraction end cell greater or equal than cell open parentheses 1 minus x squared close parentheses end cell row cell fraction numerator x open parentheses x plus 1 close parentheses plus x open parentheses x minus 1 close parentheses over denominator open parentheses x squared minus 1 close parentheses end fraction end cell greater or equal than cell open parentheses 1 minus x squared close parentheses end cell row cell x open parentheses x plus 1 close parentheses plus x open parentheses x minus 1 close parentheses end cell greater or equal than cell open parentheses 1 minus x squared close parentheses open parentheses x squared minus 1 close parentheses end cell end table  

Jadi, Pertidaksamaan fraction numerator x over denominator x minus 1 end fraction plus fraction numerator x over denominator x plus 1 end fraction greater or equal than 1 minus x squared ekuivalen (setara) dengan x left parenthesis x plus 1 right parenthesis plus x left parenthesis x minus 1 right parenthesis greater or equal than open parentheses 1 minus x squared close parentheses open parentheses x squared minus 1 close parentheses.

Dengan demikian, jawaban yang tepat adalah D.

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