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Show the solution set of inequations 4x – 5y ≤ 20 graphically - Mathematics and Statistics

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Question

Show the solution set of inequations 4x – 5y ≤ 20 graphically

Chart
Graph

Solution

Given inequality 4x – 5y ≤ 20 
Corresponding equality 4x – 5y = 20 
Intersection of line with X-axis A(5, 0)
Intersection of line with Y-axis B(0, – 4)
Origin test 4(0) – 5(0) ≤ 20
i.e., 0 ≤ 20
which is true
Region Origin side of the line

The shaded portion represents the graphical solution.

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Linear Inequations in Two Variables
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Chapter 1.7: Linear Programming Problems - Short Answers I

APPEARS IN

SCERT Maharashtra Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC
Chapter 1.7 Linear Programming Problems
Short Answers I | Q 10

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