Linear inequalities in two variables worksheet with answers pdf
- problems involving linear inequalities in two variables
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10 examples of solving problems involving linear inequalities in two variables..
Solving Linear Inequalities Word Problems
We are well versed with equations in multiple variables.
Solving problems involving linear inequalities in two variables pdfLinear Equations represent a point in a single dimension, a line in a two-dimensional, and a plane in a three-dimensional world. Solutions to linear inequalities represent a region of the Cartesian plane. It becomes essential for us to know how to translate real-life problems into linear inequalities.
Linear Inequalities
Before defining the linear inequalities formally, let’s see them through a real-life situation and observe why their need arises in the first place.
Linear inequalities in two variables examples
Let’s say Albert went to buy some novels for himself at the book fair. He has a total of Rs 200 with him. The book fair has a special sale policy which offers any book at Rs 70. Now he knows that he may not be able to spend the full amount on the books.
Let’s say x is the number of books he bought. This situation can be represented mathematically by the following equation,
70x < 200
Since he can’t spend all the amount on books, and also the amount spent by him will always be less than R
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