# Chapter 7 - Section 7.5 - Systems of Inequalities - Exercise Set - Page 863: 66

See graph and explanations.

#### Work Step by Step

Step 1. Based on the given conditions, we can write the first inequality as $x+y\leq3$, shown with the red shaded area. Step 2. The second inequality is $4x+y\leq6$, shown with the blue shaded area in the figure. Step 3. The overlapping area (appears in purple) shows the solution for both inequalities.

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