Chapter 1, Problem 61SGA

To determine

To graph: $x+y\le 1$

Answer to Problem 61SGA

  

Explanation of Solution

Given information:

  $x+y\le 1$

Calculation:

First graph the line for $y=-x+1$ . Less than or equal to sign $(\le )$ means use solid line.

  

Now, choose a test point on each side of the line as shown below.

True test point $\left(0,0\right)$	$0\le -0+1$	$0\le 1$
False test point $\left(3,3\right)$	$3\le -3+1$	$3\le -2$

Shade the side of above graph with the true test point as shown below.