Question

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.y < -x - 4y ≥ 3/5 x + 4

Answer 1

Explanation

Given the inequality

$\begin{gathered} y<-x-4 \\ y\le\frac{3}{5}x+4 \end{gathered}$

The solution to the inequality can be seen below

The solution region is the overlapping region in the above image.

We can then state the coordinates of a point in the solution set.( The spot marked in blue is the chosen region)

Answer:

$(-8,2)$