SOLUTION: how to graph x+y>2 and 2x-3y<1

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You can graph these two like a linear equation.
Make a table for x and y to find points in the form (x,y).
Because you have > and < signs, the line for each inequality will be a dotted line NOT a solid line.
After graphing the lines, select the point (0,0) as a TEST POINT. The region where both inequalities test TRUE, will be the solution of both inequalities.
Understand?