Question 49331
3x-4y<12 [Solve for y]
3x - 3x -4y<12 - 3x
-4y<12 - 3x
-4y/-4>12/-4 - 3x/-4[Switch the sign when multiplying or dividing by a negative number]
y > -3 + 3/4x
y > 3/4x - 3  [Re-arrange the terms]
Graph the same way as you would an equality: y=mx+b, except instead of using a solid black line, use a dashed line to graph.
-3 = the y-intercept
(3/4) = the slope
Plot these points:  (0, -3) (4, 0) (8, 3) (-4, -6) (2, -1.5) and (6, 1.5)
Since the line is "greater than" color or shade everything above and to the left of the dashed line.

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Below is a graph of y = 3/4x-3.  You graph should be dashed and shaded.
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{{{ graph( 300, 200, -10, 10, -10, 10, (3/4)x-3) }}}