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| Question 717670:  When graphing y<-6, should the region below the line y=-6 be shaded or should the region above the line y=-6 be shaded?
 Answer by solver91311(24713)
      (Show Source): 
You can put this solution on YOUR website! 
 Since the boundary line does not go through the origin, use the origin, (0,0), as a test point.  Substitute the coordinates of the test point into your original inequality.  In this case, you would write 0 < -6.  If that is a true statement, shade in the side of the line that CONTAINS the test point.  If it is not a true statement, shade in the side of the line that does NOT CONTAIN the test point.  In the event you are trying to evaluate where to shade a graph where the boundary line does pass through the origin, pick some other point that is NOT on the boundary line.  I recommend something with small integer coefficients.
 
 John
 
  Egw to Beta kai to Sigma
 My calculator said it, I believe it, that settles it
 
 
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