SOLUTION: Graph the inequality on a plane {{{3x+4y<=12}}}

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Question 145959: Graph the inequality on a plane

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the 1st inequality


Replace the inequality sign with an equals sign


Solve for y


So in order to plot , we need to plot the equation first


Graph of


Now plug in a test point (0,0) into the inequality


Plug in and


Evaluate and simplify


Since the inequality is true, this means that we shade the entire region that contains the point (0,0)


Graph of with the shaded region in green

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