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Question
Solve the following system of inequalities graphically.
x + y ≤ 6, x + y ≥ 4
Solution
To find graphical solution, construct the table as follows:
| Inequation | Equation | Double Intercept form |
Points (x, y) |
Region |
| x + y ≤ 6 | x + y = 6 | `"x"/6 + "y"/6` = 1 | A (6, 0), B (0, 6) |
0 + 0 ≤ 6 ∴ 0 ≤ 6 ∴ origin side |
| x + y ≥ 4 | x + y = 4 | `"x"/4 + "y"/4` = 1 | C (4, 0), D (0, 4) |
0 + 0 `≱ ` 4 ∴ 0 `≱ ` 4 ∴ non-origin side |
Shaded portion represents the graphical solution.
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