Maharashtra State BoardHSC Commerce 11th
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Solve the following system of inequalities graphically.5x + 4y ≤ 20, x ≥ 1, y ≥ 2 - Mathematics and Statistics

Graph

Solve the following system of inequalities graphically.
5x + 4y ≤ 20, x ≥ 1, y ≥ 2

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Solution

To find graphical solution, construct the table as follows:

Inequation Equation Double Intercept
form
Points 
(x, y)
Region
5x + 4y ≤ 20 5x + 4y = 20 `"x"/4 + "y"/5` = 1 A (4, 0),
B (0, 5)
5(0) + 4(0) ≤ 20
∴ 0 ≤ 20
∴ origin side
x ≥ 1 x = 1 ∴ 0 `≱` 1
∴ R.H.S. of line
x = 1
y ≥ 2 y = 2 ∴ 0 `≱` 2
∴ above the line
y = 2


The shaded portion represents the graphical solution.

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 8 Linear Inequations
Miscellaneous Exercise 8 | Q 9 | Page 122
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