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Question
Solve graphically : x + y ≥ 6 and x + 2y ≤ 10
Solution
First, we draw the lines AB and CD, whose equations are x + y = 6 and x + 2y = 10, respectively.
| Line | Equation | Points on the X-axis | Points on the Y-axis | Sign | Region |
| AB | x + y = 6 | A(6, 0) | B(0, 6) | ≥ | non-origin side of line AB |
| CD | x + 2y = 10 | D(10, 0) | D(0, 5) | ≤ | origin side of the line CD |
The solution set of the given system of inequalities is shaded in the graph.
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