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| Linear inequations |
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| An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables). |
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ax + by ³
0, ax + by £
0, ax + by ³ c, ax +
by £ c where a, b
0 are linear inequations of two variables, (x, y) of degree 1. ax
³ c, ay
³ k are also linear
inequations. They are single variable inequations. |
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| Solution set |
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| The set of ordered pairs (x,y), which satisfy the given inequation, is called the solution set of the inequations. |
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| A real number line can be used to represent the solution set of an inequation (Linear). |
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The convention is that O (a hollow circle) marks the end of a range with a strict inequality (i.e. < or >) and (a darkened circle) marks the end of a range involving equality as well as inequality. |
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| Examples: |
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