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3 Answers

There are 2 variables, so you can't 'solve' this equation. However, you can certainly graph it. First, look at like 12x+15y>360. This equation can be simplified by dividing each term by 3. You get 4x+5y>120. Let's pick two points to put on our graph paper that satisfy this equation. If x=0, then y=24. If y=0, then x=30. OK, plot (0,24) and (30,0) on your graph paper and connect the dots with a dotted line since your inequality sign is >. Now, what side to shade? Does the point (0,0) satisfy the equation? No (0 is not greater than 360). OK, so shade the side NOT containing (0,0). Sorry that I can't show the graph to you. Good luck! From, Cornelia M.

For the instruction to "solve" the equation, did they specify "solve for p" or "solve for c" ? If so, then that means to first put it in slope-intercept form by using algebra to get the p or the c by itself on the left side of the ">" sign.

In the answer provided by Cornelia M., it is assumed that p=x and c=y.  You would label the x axis "p" and the y axis "c".  Point (0,24) would have p=0 and c=24.  Point (30,0) would have p=30 and c=0.

This is the "solution" to the equation, all points in the shaded area, not including points directly on the dashed line.