Question 238116
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Given that you are graphing linear inequalities, I'm going to presume that you know how to graph a straight line given the 2-variable equation of a line.


Start with one of your inequalities.  Replace the inequality symbol with an equal sign.  Graph the resulting equation, but since your inequality symbol does NOT include equals, graph the line with a dashed line.


Next select a test point that IS NOT on the line.  Any time your line does not pass through the origin, (and neither of these do) the origin, (0,0), is an excellent choice for a test point.  (otherwise, pick something else simple, like (1,1) -- as long as the test point is not on the line you just graphed)


Substitute the coordinates of your test point into the original inequality and do the indicated arithmetic.  If the result is a true statement, shade in the side of the line containing your test point.  If the result is false, shade in the other side.


Repeat the same process for your other inequality.


If this is a system of inequalities and you are trying to graph the solution set of the <i>system</i>, then you need to graph both inequalities on the same set of coordinate axes and the solution set is the area where the two shaded areas overlap.  By the way, the dashed boundary line indicates that points ON the line are NOT included in the solution set.



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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