Mathematics

Mathematics

Problem

Graph the following system of inequalities on the same coordinate plane: x+2y≤10,x−y>1,x≥0,y≥0.\begin{aligned} x + 2y &\le 10,\\ x - y &> 1,\\ x &\ge 0,\\ y &\ge 0. \end{aligned} (i) Draw each boundary line, indicating clearly whether it is solid or dashed. (ii) Determine the coordinates of all corner points of the feasible region. (iii) Calculate the area of the feasible region thus obtained.

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