Pertanyaan

Untuk -3<a<0daerah jawab a x + 3 x > 3 a − a 3 adalah.....

Untuk -3<a<0 daerah jawab $\frac{x}{a} + \frac{x}{3} > \frac{a}{3} - \frac{3}{a}$ adalah.....

x>a-3
x<a-3
x<3-a
x>3-a
a<x<3

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G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Pembahasan

Karena penyebut definit negatif maka,

$x over a plus x over 3 greater than a over 3 minus 3 over a fraction numerator 3 x plus a x over denominator 3 a end fraction greater than fraction numerator a squared minus 9 over denominator 3 a end fraction fraction numerator 3 x plus a x over denominator 3 a end fraction minus fraction numerator a squared minus 9 over denominator 3 a end fraction greater than 0 fraction numerator x open parentheses a plus 3 close parentheses minus a squared plus 9 over denominator 3 a end fraction greater than 0$

Karena penyebut definit negatif maka,

$x open parentheses a plus 3 close parentheses minus a squared plus 9 less than 0 x open parentheses a plus 3 close parentheses less than a squared minus 9 x less than fraction numerator a squared minus 9 over denominator a plus 3 end fraction x less than fraction numerator open parentheses a minus 3 close parentheses open parentheses a plus 3 close parentheses over denominator a plus 3 end fraction x less than a minus 3$