Chapter CSB1.6, Problem 6E

To determine

To graph: The inequality $y\le -x+5$ .

Explanation of Solution

Given:

The inequality is $y\le -x+5$ .

Calculation:

First plot the equation of line $y=-x+5$ as follows:

Take some of points for the coordinates.

Consider x = 0,

  $\begin{array}{c}y=-x+5\\ =5\end{array}$

Thus, the coordinate is (0, 5).

Consider x = 5,

  $\begin{array}{c}y=-5+5\\ =0\end{array}$

Thus, the coordinate is (5, 0).

The graph of the equation can be drawn by joining these two coordinates as follows:

  

Now apply the inequality condition (less than equal to) by shading the area below the line as follows: