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SMK Teknologi dan Rekayasa

Soal 27 Pertidaksamaan Linear Satu Variabel


Himpunan\ penyelesaian\ dari
\frac{2}{5}(2x+1)\geq \frac{1}{3}(4x-6)
adalah\ ....
a.\ \ \left \{ x\ |\ x\ \geq \ \frac{9}{2},\ x\ \epsilon \ \Re \right \}\\\\b.\ \ \left \{ x\ |\ x\ \leq \ \frac{9}{2},\ x\ \epsilon \ \Re \right \}\\\\c.\ \ \left \{ x\ |\ x\ \geq \ -\frac{9}{2},\ x\ \epsilon \ \Re \right \}\\\\d.\ \ \left \{ x\ |\ x\ \leq \ -\frac{9}{2},\ x\ \epsilon \ \Re \right \}\\\\e.\ \ \left \{ x\ |\ x\ \geq \ -\frac{1}{3},\ x\ \epsilon \ \Re \right \}
Jawaban: b

\begin{array}{rcl}\frac{2}{5}(2x+1)&\ge &\frac{1}{3}(4x-6)\ \ \ \ \ \ \ \ \ \ (tiap\ suku\ dikali\ dengan\ 15)\\\\3.2(2x+1)&\ge &5(4x-6)\\\\6(2x+1)&\ge &20x-30\\\\12x+6&\ge &20x-30\\\\12x-20x&\ge &-30-6\\\\-8x&\ge &-36\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (dibagi\ -4)\\\\2x&\le &9\\\\x&\le &\frac{9}{2}\end{array}

About Kalakay

Guru Matematika SMK

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6 thoughts on “Soal 27 Pertidaksamaan Linear Satu Variabel

  1. kenapa nggak boleh di copi

    Posted by eki | 3 November 2010, 10:12 PM
  2. jawab soal ini dong, 4/x < 1

    Posted by zila | 19 Desember 2013, 8:43 PM
  3. yang ini jugak yaa
    6/ x+2 < 3x/ x+2

    Posted by zila | 19 Desember 2013, 8:46 PM

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