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| Simultaneous inequations |
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| 1) Graph the following: |
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| x > 2 and y < 3 |
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| The solution set of the system of linear simultaneous inequations is the set of all points (x, y) which satisfies the given set of inequations. |
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| In the above graph, the common area of the inequations (shaded area) represents solution set. |
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| y < 3 is the region below the line y = 3. |
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| x > 2 is the region to the right of the line x = 3. |
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| Hence the solution set is the shaded region which do not include the points on both the lines x = 2 and y = 3. |
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| 2) Graph the following: |
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| Consider the equations, |
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| 3) For each shaded area, state the inequalities, which are true. |
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| a) |
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| Solution: |
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| b) |
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| Solution: |
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| c) |
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| Solution: |
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