Question

State the system of linear inequalities which satisfies the following shaded regions. help ??asappp

Answer 1

Find the equation of the line that does not have an equation written for it.

(4, -4) (0,-2)

m = (-2 + 4) / (0 - 4)

m = 2 / -4  = -1/2

y = -1/2x - 2

Let's now look at all of these different lines we have. For the two intersecting lines, we know that the bottom one must be greater than and the top must be less than. And because these are solid lines, they are greater/less than or equal to. For the dotted line, we know that x must be less than because the line is dotted and the shading is to the left.

y ≤ x - 2

x < 4

y ≥ -1/2x - 2

Hope this helps! :)