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SMK Teknologi dan Rekayasa

Kiat 6 – UN 2012 SMK Teknologi


INDIKATOR

Menyelesaikan masalah sistem persamaan atau pertidaksamaan linear dua variabel

SOAL

Himpunan\ penyelesaian\ dari\ pertidaksamaan\ linear

\frac{2x+6}{4}+\frac{3-x}{3}\leq \frac{4x-3}{6}

adalah\ ....

A.\ \ \left \{ x\ |\ x\ \leq \ -6,\ x\ \epsilon \ \Re \right \}\\\\B.\ \ \left \{ x\ |\ x\ \geq \ -6,\ x\ \epsilon \ \Re \right \}\\\\C.\ \ \left \{ x\ |\ x\ \leq \ 6,\ x\ \epsilon \ \Re \right \}\\\\D.\ \ \left \{ x\ |\ x\ \geq \ 6,\ x\ \epsilon \ \Re \right \}\\\\E.\ \ \left \{ x\ |\ x\ \geq \ 12,\ x\ \epsilon \ \Re \right \}

SOLUSI

\frac{2x+6}{4}+\frac{3-x}{3}\le \frac{4x-3}{6}                 (tiap suku dikali dengan 12)

\begin{array}{rcl}3(2x+6)+4(3-x)&\le &2(4x-3)\\\\6x+18+12-4x&\le &8x-6\\\\2x+30&\le &8x-6\\\\2x-8x&\le &-6-30\\\\-6x&\le &-36\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (dibagi\ -6)\\\\x&\ge &6\end{array}

(Pilihan: D)

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