Question 427391
Solution:{{{3x+4y<=12}}}

The x-intercept is (4, 0) and y-intercept is (0, 3) Using test-point (0,0) we have: {{{3*0+4*0<=12}}}

{{{0<=12}}} its true, thus the closed half-plane which include the point (0,0) is the solution set.In the figure is shaded with red color. 

{{{graph(400, 400, -5, 5, -5, 5, 3x+4y<=12)}}}