Chapter 6.6, Problem 2BGP

To determine

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

Answer to Problem 2BGP

No solution.

Explanation of Solution

Given information:

  $\begin{array}{l}x+6y\le 2\\ y\ge \left(\frac{-1}{6}\right)x+7\end{array}$

Graph of given inequalities is

Here Violet colour represents the region of inequality $x+6y\le 2$ .

Black colour represents the region of inequality $y\ge \left(\frac{-1}{6}\right)x+7$ .

As there is no common region of Black and Violet colour

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

So there is no solution.