SOLUTION: Graph the intersection: what is the the intersection of x+2y≥2 and x>-3

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Question 364777: Graph the intersection:
what is the the intersection of x+2y≥2 and x>-3

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the lines x=-3 and x%2B2y=2
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x%2B2y=2
2y=-x%2B2
y=-%281%2F2%29x%2B1
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The two lines break up the plane into 4 sections.
Since you know that x%3E-3, only the 2 right hand sections are the possible solution regions.
Choose a point in either of the two right hand sections, not on the line.
(0,0) is a convenient choice.
Test the inequalities, if the inequalities are satisfied, shade the region containing (0,0).
If not, shade the region that doesn't contain (0,0).
x%3E-3
0%3E-3
True, but we already knew that one.
x%2B2y%3E=2
0%2B2%280%29%3E=2
0%3E=2
False, so shade the region to the right of the blue line and above the green line.

Solved by pluggable solver: Plot Any Inequality
Graphing function x%2B2y%3E=2:

graph%28+300%2C+300%2C+-3%2C+10%2C+-10%2C+10%2C+x%2B2y%3E=2+%29