Chapter 6.6, Problem 24PPS

To determine

To find: Points $\left(x,y\right)$ satisfying the given inequalities .

Answer to Problem 24PPS

No Solution.

Explanation of Solution

Given information:

  $\begin{array}{l}4x+y<-2\\ y>-4x\end{array}$

Graph of given inequalities is

  

Here Red colour represents the region of inequality $4x+y<-2$ .

Green colour represents the region of inequality $y>-4x$ .

As there is no common region of Red and Green colour

There exists no values of $\left(x,y\right)$ which satisfy these inequalities.

So there is no solution..