मराठी

Find the graphical solution of the following system of linear inequations:x – y ≤ 0, 2x – y ≥ − 2

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प्रश्न

Find the graphical solution of the following system of linear inequations:
x – y ≤ 0, 2x – y ≥ − 2

आलेख
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उत्तर

To find graphical solution, construct the table as follows:

Inequation Equation Double Intercept form Points (x, y) Region
x – y ≤ 0 x – y = 0 - O (0, 0)
A (1, 1)
(0) – (0) ≤ 0
∴ 0 ≤ 0
∴ origin side
2x – y ≥ − 2 2x – y = − 2 `(2"x")/-2-"y"/-2=(-2)/-2` B (–1, 0)
C (0, 2) 
2(0) – (0) ≥ –2
∴ 0 ≥ –2
∴ origin side


The shaded portion represents the graphical solution.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Linear Inequations - Exercise 8.3 [पृष्ठ १२१]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 8 Linear Inequations
Exercise 8.3 | Q 1 | पृष्ठ १२१

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