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Question 137758: graph the linear inequality: x+y<1
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website! Replace the 'less than' sign with an equal sign.
Pick some value for x. Substitute this value for x in the equation and then solve for y. The value that you selected and the value that resulted from this selection will form an ordered pair. Plot the point represented by the ordered pair on your graph.
Then pick another value for x and repeat the process.
You will now have two points plotted on your graph. Draw a straight dashed line through the two points extending all the way across your coordinate system. You are drawing a dashed line because the original relationship was 'less than' Had the original relationship included 'or equal to', you would draw a solid line.
Now, select a point that is NOT on the line you just drew. If the line does NOT pass through the origin, then (0,0) is always a good choice for this step. Substitute the values of the x- and y-coordinates of the point you just selected into the original inequality. If a true statement results, shade in the half-plane containing the selected point and bounded by the line. If a false statement results, shade in the other side of the line.
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