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Pertanyaan

Himpunan semua nilai x adalah ∣ x + 8∣ ≥ ∣3 x − 4∣

Himpunan semua nilai adalah 

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

himpunan semua nilai dari adalah .

himpunan semua nilai x dari vertical line x plus 8 vertical line greater or equal than vertical line 3 x minus 4 vertical line adalah negative 1 less or equal than x less or equal than 6.

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Pembahasan

Interval positif, Interval Negatif, Karena maka menjadi . Jadi, himpunan semua nilai dari adalah .

Interval positif,

table attributes columnalign right center left columnspacing 0px end attributes row cell vertical line x plus 8 vertical line end cell greater or equal than cell vertical line 3 x minus 4 vertical line end cell row cell x plus 8 end cell greater or equal than cell 3 x minus 4 end cell row cell 8 plus 4 end cell greater or equal than cell 3 x minus x end cell row 12 greater or equal than cell 2 x end cell row cell 12 over 2 end cell greater or equal than x row 6 greater or equal than x row x less or equal than 6 end table

Interval Negatif,

table attributes columnalign right center left columnspacing 0px end attributes row cell negative vertical line x plus 8 vertical line end cell greater or equal than cell vertical line 3 x minus 4 vertical line end cell row cell negative x minus 8 end cell greater or equal than cell 3 x minus 4 end cell row cell negative 8 plus 4 end cell greater or equal than cell 3 x plus x end cell row cell negative 4 end cell greater or equal than cell 4 x end cell row cell fraction numerator negative 4 over denominator 4 end fraction end cell greater or equal than x row cell negative 1 end cell greater or equal than x row x less or equal than cell negative 1 end cell end table

Karena vertical line x plus 8 vertical line greater or equal than vertical line 3 x minus 4 vertical line maka table attributes columnalign right center left columnspacing 0px end attributes row x less or equal than cell negative 1 end cell end table menjadi table attributes columnalign right center left columnspacing 0px end attributes row x greater or equal than cell negative 1 end cell end table.


Jadi, himpunan semua nilai x dari vertical line x plus 8 vertical line greater or equal than vertical line 3 x minus 4 vertical line adalah negative 1 less or equal than x less or equal than 6.

54

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