Question

10 POINTS !!! Select the system of linear inequalities whose solution is graphed.

Answer 1

x < 3  -  the dotted line. shaded left side.

Read the coordinates of two points: (-1, 0) and (0, -1).

The point-slope form of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitue:

$m=\dfrac{-1-0}{0-(-1)}=\dfrac{-1}{1}=-1\\\\y-0=-1(x-(-1))\\\\y=-(x+1)\\\\y=-x-1$

Solid line. Shaded below the line, therefore the sign ≤ → y ≤ -x - 1.

Answer: x < -3; y ≤ -x - 1