SOLUTION: Solve and graph 2x+3>-15 The less than sign has a line underneath of it in the problem. thank you

Algebra ->  Inequalities -> SOLUTION: Solve and graph 2x+3>-15 The less than sign has a line underneath of it in the problem. thank you      Log On


   



Question 197311: Solve and graph
2x+3>-15

The less than sign has a line underneath of it in the problem.

thank you

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
then the problem reads that 2x+3 is greater than or equal to -15
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2x>-18.....subtracted 3 from both sides
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x>-9.......divided both sides by 2
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since this is greater than or equal to means that the boundry line is solid because it is included
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the boundry line is a solid line at x=-9......the shade portion will be that portion which makes our inequality true...do a test point on each side.
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(-10,0) is on the left side and (0,0) is on the right
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-10>-9........is not false
0>-9 .........is true
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therefore our boundry line is x=-9 which is a line 9 units to the left and parallel to the y axis. the shade portion is everything to the right of this line