5.6 Graphing systems of linear inequalities  (Page 5/10)

$\{\begin{array}{c}3x+y>5\hfill \\ 2x-y\le 10\hfill \end{array}$

ⓐ $(3,\mathrm{-3})$ ⓑ $(7,1)$

$\{\begin{array}{c}4x-y<10\hfill \\ \mathrm{-2}x+2y>\mathrm{-8}\hfill \end{array}$

ⓐ $(5,\mathrm{-2})$ ⓑ $(\mathrm{-1},3)$

$\{\begin{array}{c}y>\frac{2}{3}x-5\hfill \\ x+\frac{1}{2}y\le 4\hfill \end{array}$

ⓐ $(6,\mathrm{-4})$ ⓑ $(3,0)$

$\{\begin{array}{c}y<\frac{3}{2}x+3\hfill \\ \frac{3}{4}x-2y<5\hfill \end{array}$

ⓐ $(\mathrm{-4},\mathrm{-1})$ ⓑ $(8,3)$

$\{\begin{array}{c}7x+2y>14\hfill \\ 5x-y\le 8\hfill \end{array}$

ⓐ $(2,3)$ ⓑ $(7,\mathrm{-1})$

$\{\begin{array}{c}6x-5y<20\hfill \\ \mathrm{-2}x+7y>\mathrm{-8}\hfill \end{array}$

ⓐ $(1,\mathrm{-3})$ ⓑ $(\mathrm{-4},4)$

$\{\begin{array}{c}2x+3y\ge 2\hfill \\ 4x-6y<\mathrm{-1}\hfill \end{array}$

ⓐ $\left(\frac{3}{2},\frac{4}{3}\right)$ ⓑ $\left(\frac{1}{4},\frac{7}{6}\right)$

$\{\begin{array}{c}5x-3y<\mathrm{-2}\hfill \\ 10x+6y>4\hfill \end{array}$

ⓐ $\left(\frac{1}{5},\frac{2}{3}\right)$ ⓑ $\left(-\frac{3}{10},\frac{7}{6}\right)$

$\{\begin{array}{c}y\le 3x+2\hfill \\ y>x-1\hfill \end{array}$

$\{\begin{array}{c}y<\mathrm{-2}x+2\hfill \\ y\ge -x-1\hfill \end{array}$

$\{\begin{array}{c}y<2x-1\hfill \\ y\le -\frac{1}{2}x+4\hfill \end{array}$

$\{\begin{array}{c}y\ge -\frac{2}{3}x+2\hfill \\ y>2x-3\hfill \end{array}$

$\{\begin{array}{c}x-y>1\hfill \\ y<-\frac{1}{4}x+3\hfill \end{array}$

$\{\begin{array}{c}x+2y<4\hfill \\ y<x-2\hfill \end{array}$

$\{\begin{array}{c}3x-y\le 6\hfill \\ y\ge -\frac{1}{2}x\hfill \end{array}$

$\{\begin{array}{c}2x+4y\ge 8\hfill \\ y\le \frac{3}{4}x\hfill \end{array}$

$\{\begin{array}{c}2x-5y<10\hfill \\ 3x+4y\ge 12\hfill \end{array}$

$\{\begin{array}{c}3x-2y\le 6\hfill \\ \mathrm{-4}x-2y>8\hfill \end{array}$

$\{\begin{array}{c}2x+2y>\mathrm{-4}\hfill \\ -x+3y\ge 9\hfill \end{array}$

$\{\begin{array}{c}2x+y>\mathrm{-6}\hfill \\ -x+2y\ge \mathrm{-4}\hfill \end{array}$

$\{\begin{array}{c}x-2y<3\hfill \\ y\le 1\hfill \end{array}$

$\{\begin{array}{c}x-3y>4\hfill \\ y\le -1\hfill \end{array}$

$\{\begin{array}{c}y\ge -\frac{1}{2}x-3\hfill \\ x\le 2\hfill \end{array}$

$\{\begin{array}{c}y\le -\frac{2}{3}x+5\hfill \\ x\ge 3\hfill \end{array}$

$\{\begin{array}{c}y\ge \frac{3}{4}x-2\hfill \\ y<2\hfill \end{array}$

$\{\begin{array}{c}y\le -\frac{1}{2}x+3\hfill \\ y<1\hfill \end{array}$

$\{\begin{array}{c}3x-4y<8\hfill \\ x<1\hfill \end{array}$

$\{\begin{array}{c}\mathrm{-3}x+5y>10\hfill \\ x>\mathrm{-1}\hfill \end{array}$

$\{\begin{array}{c}x\ge 3\hfill \\ y\le 2\hfill \end{array}$

$\{\begin{array}{c}x\le -1\hfill \\ y\ge 3\hfill \end{array}$

$\{\begin{array}{c}2x+4y>4\hfill \\ y\le -\frac{1}{2}x-2\hfill \end{array}$

$\{\begin{array}{c}x-3y\ge 6\hfill \\ y>\frac{1}{3}x+1\hfill \end{array}$

$\{\begin{array}{c}\mathrm{-2}x+6y<0\hfill \\ 6y>2x+4\hfill \end{array}$

$\{\begin{array}{c}\mathrm{-3}x+6y>12\hfill \\ 4y\le 2x-4\hfill \end{array}$

$\{\begin{array}{c}y\ge \mathrm{-3}x+2\hfill \\ 3x+y>5\hfill \end{array}$

$\{\begin{array}{c}y\ge \frac{1}{2}x-1\hfill \\ \mathrm{-2}x+4y\ge 4\hfill \end{array}$

$\{\begin{array}{c}y\le -\frac{1}{4}x-2\hfill \\ x+4y<6\hfill \end{array}$

$\{\begin{array}{c}y\ge 3x-1\hfill \\ \mathrm{-3}x+y>\mathrm{-4}\hfill \end{array}$

$\{\begin{array}{c}3y>x+2\hfill \\ \mathrm{-2}x+6y>8\hfill \end{array}$

$\{\begin{array}{c}y<\frac{3}{4}x-2\hfill \\ \mathrm{-3}x+4y<7\hfill \end{array}$