Answer
See answer below
Work Step by Step
Let x = the cost of peanuts.
Let y = the cost of cashews.
Write an inequality and solve it for y.
$2x+4y \leq 12$
$4y \leq 12 -2x$
$y \leq 3 - \frac{1}{2}x$
Graph $y \leq 3 - \frac{1}{2}x$. The inequality symbol is $\leq$, so the boundary line is solid and you shade below it. The graph only makes sense in the first quadrant. Three possible combinations of peanuts and cashews you can buy are 2 peanuts and 2 cashews, 3 peanuts and 1 cashew, and 4 peanuts and 0 cashews.
