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Question
Draw the graph of inequalities x ≤ 6, y −2 ≤ 0, x ≥ 0, y ≥ 0 and indicate the feasible region
Solution
| Given inequalities | x ≤ 6 | y – 2 ≤ 0 |
| Corresponding equalities | x = 6 | y = 2 |
| Intersection of line with X-axis | A(6, 0) | Parallel to X-axis |
| Intersection of line with Y-axis | Parallel to Y-axis | Parallel to Y-axis |
| Origin test |
0 ≤ 6 which is true |
2 ≤ 0 which is true |
| Region | Origin side of the line | Origin side of the line |
x ≥ 0, y ≥ 0 represent 1st quadrant.
The shaded portion represents the feasible solution.
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