4.7 Graphs of linear inequalities  (Page 4/10)

Determine whether each ordered pair is a solution to the inequality $y>x-1$ :

ⓐ $\left(0,1\right)$
ⓑ $\left(\mathrm{-4},\mathrm{-1}\right)$
ⓒ $\left(4,2\right)$
ⓓ $\left(3,0\right)$
ⓔ $\left(\mathrm{-2},\mathrm{-3}\right)$

Determine whether each ordered pair is a solution to the inequality $y>x-3$ :

ⓐ $\left(0,0\right)$
ⓑ $\left(2,1\right)$
ⓒ $\left(\mathrm{-1},\mathrm{-5}\right)$
ⓓ $\left(\mathrm{-6},\mathrm{-3}\right)$
ⓔ $\left(1,0\right)$

Determine whether each ordered pair is a solution to the inequality $y<x+2$ :

ⓐ $\left(0,3\right)$
ⓑ $\left(\mathrm{-3},\mathrm{-2}\right)$
ⓒ $\left(\mathrm{-2},0\right)$
ⓓ $\left(0,0\right)$
ⓔ $\left(\mathrm{-1},4\right)$

Determine whether each ordered pair is a solution to the inequality $y<x+5$ :

ⓐ $\left(\mathrm{-3},0\right)$
ⓑ $\left(1,6\right)$
ⓒ $\left(\mathrm{-6},\mathrm{-2}\right)$
ⓓ $\left(0,1\right)$
ⓔ $\left(5,\mathrm{-4}\right)$

Determine whether each ordered pair is a solution to the inequality $x+y>4$ :

ⓐ $\left(5,1\right)$
ⓑ $\left(\mathrm{-2},6\right)$
ⓒ $\left(3,2\right)$
ⓓ $\left(10,\mathrm{-5}\right)$
ⓔ $\left(0,0\right)$

Determine whether each ordered pair is a solution to the inequality $x+y>2$ :

ⓐ $\left(1,1\right)$
ⓑ $\left(4,\mathrm{-3}\right)$
ⓒ $\left(0,0\right)$
ⓓ $\left(\mathrm{-8},12\right)$
ⓔ $\left(3,0\right)$

Graph the linear inequality $y>\frac{2}{3}x-1$ .

Graph the linear inequality $y<\frac{3}{5}x+2$ .

Graph the linear inequality $y\le -\frac{1}{2}x+4$ .

Graph the linear inequality $y\ge -\frac{1}{3}x-2$ .

Graph the linear inequality $x-y\le 3$ .

Graph the linear inequality $x-y\ge \mathrm{-2}$ .

Graph the linear inequality $4x+y>\mathrm{-4}$ .

Graph the linear inequality $x+5y<\mathrm{-5}$ .

Graph the linear inequality $3x+2y\ge \mathrm{-6}$ .

Graph the linear inequality $4x+2y\ge \mathrm{-8}$ .