$\begin{array}{ll}\\ 6.&\textrm{Pada gambar berikut ini, yang merupakan}\\ &\textrm{himpunan penyelesaian sistem pertidaksamaan}\\\\ &\color{magenta}\begin{cases} -x+2y & \leq 2 \\ 4x+3y &\leq 12 \\ x \geq 0&\\ y\geq 0& \end{cases}\\\\ &\textrm{adalah}\: ....\\ \end{array}$
$.\: \: \: \begin{array}{ll}\\ &\begin{array}{llll}\\ \color{red}\textrm{a}.&\textrm{I}\\ \textrm{b}.&\textrm{II}\\ \textrm{c}.&\textrm{III}\\ \textrm{d}.&\textrm{I}\: \: \textrm{dan}\: \: \textrm{IV}\\ \textrm{e}.&\textrm{II}\: \: \textrm{dan}\: \: \textrm{II} \end{array}\\\\ &\textrm{Jawab}:\quad \color{red}\textbf{a}\\ &\color{blue}\textrm{Pembahasan diserahkan kepada pembaca} \end{array}$
$\begin{array}{ll}\\ 7.&\textrm{Pada gambar berikut ini, yang merupakan}\\ &\textrm{himpunan penyelesaian sistem pertidaksamaan}\\\\ &\color{magenta}\begin{cases} 5x+y & \geq 10\\ 2x+y &\leq 8 \\ y\geq 2& \end{cases}\\\\ &\textrm{adalah}\: ....\\ \end{array}$
$.\: \: \: \begin{array}{ll}\\ &\begin{array}{llll}\\ \textrm{a}.&\textrm{I}\\ \textrm{b}.&\textrm{II}\\ \color{red}\textrm{c}.&\textrm{III}\\ \textrm{d}.&\textrm{IV}\\ \textrm{e}.&\textrm{V} \end{array}\\\\ &\textrm{Jawab}:\quad \color{red}\textbf{c}\\ &\color{blue}\textrm{Pembahasan diserahkan kepada pembaca} \end{array}$
$\begin{array}{ll}\\ 8.&\textrm{Pada gambar berikut ini, yang merupakan}\\ &\textrm{himpunan penyelesaian sistem pertidaksamaan}\\\\ &\color{magenta}\begin{cases} x+y & \geq 4\\ x+2y &\leq 6 \\ y\geq 1& \end{cases}\\\\ &\textrm{adalah}\: ....\\ \end{array}$
$.\: \: \: \begin{array}{ll}\\ &\begin{array}{llll}\\ \textrm{a}.&\textrm{I}\\ \textrm{b}.&\textrm{II}\\ \color{red}\textrm{c}.&\textrm{III}\\ \textrm{d}.&\textrm{IV}\\ \textrm{e}.&\textrm{V} \end{array}\\\\ &\textrm{Jawab}:\quad \color{red}\textbf{c}\\ &\color{blue}\textrm{Pembahasan juga diserahkan kepada pembaca} \end{array}$
$.\: \: \: \quad\begin{array}{ll}\\ \color{red}\textrm{a}.&2x+y\leq 30,\: 3x+4y\leq 60,\: x\geq 0,\: y\geq 0\\ \textrm{b}.&2x+y\geq 30,\: 3x+4y\geq 60,\: x\geq 0,\: y\geq 0\\ \textrm{c}.&x+2y\geq 30,\: 3x+4y\geq 60,\: x\geq 0,\: y\geq 0\\ \textrm{d}.&x+2y\leq 30,\: 4x+3y\leq 60,\: x\geq 0,\: y\geq 0\\ \textrm{e}.&2x+y\geq 30,\: 4x+3y\leq 60,\: x\geq 0,\: y\geq 0 \end{array}$
$.\: \: \: \quad\begin{aligned}&\textrm{Jawab}:\quad \color{red}\textbf{a}\\ &\color{blue}\textrm{Persamaan garisnya adalah}:\\ &(1)\: 15x+20y=300\\ &\: \: \: \quad\textrm{kendala}:3x+4y\leq 60\\ &(2)\: 30x+15y=450\\ &\: \: \: \quad \textrm{kendala}:2x+y\leq 30\\ &(3)\: y=0,\: \: \textrm{kendala}:y\geq 0 \\ &(4)\: x=0,\: \: \textrm{kendala}:x\geq 0 \end{aligned}$
$\begin{array}{ll}\\ 10.&(\textrm{SPMB 2004})\\ &\textrm{Daerah yang diarsir pada ilustrasi gambar berikut}\\ &\textrm{adalah himpunan penyelesaian yang dipenuhi oleh} \end{array}$
$.\: \: \: \quad\begin{array}{ll}\\ \textrm{a}.&6x+5y-30\leq 0,\: x+6y-6\leq 0,\: x-y\leq 0\\ \textrm{b}.&6x+5y-30\geq 0,\: x+6y-6\leq 0,\: x-y\leq 0\\ \color{red}\textrm{c}.&6+5y-30\leq 0,\: x+6y-6\geq 0,\: x-y\geq 0\\ \textrm{d}.&6x+5y-30\leq 0,\: x+6y-6\geq 0,\: x-y\leq 0\\ \textrm{e}.&6x+5y-30\geq 0,\: x+6y-6\geq 0,x-y\geq 0 \end{array}$
$.\: \: \: \quad\begin{aligned}&\textrm{Jawab}:\quad \color{red}\textbf{c}\\ &\color{blue}\textrm{Perhatikan bahwa kendala-kendalanya}:\\ &\begin{array}{|c|c|c|}\hline \begin{aligned}6x+5y&=6\times 5\\ 6x+5y&=30 \end{aligned}&\begin{aligned}x+6y&=1\times 6\\ x+6y&=6 \end{aligned}&\begin{aligned}x&=y\\ \end{aligned}\\\hline \textbf{Sebelah kiri}&\textbf{Sebelah kanan}&\\\hline \begin{aligned}6x+5y&\leq 30\\ 6x+5y-30&\leq 0 \end{aligned}&\begin{aligned}x+6y&\geq 6\\ x+6y-6&\geq 0 \end{aligned}&\begin{aligned}x&\geq y\\ x-y&\geq 0 \end{aligned}\\\hline \end{array} \end{aligned}$
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