# 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

#### 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 linex = 1 y ≥ 2 y = 2 – – ∴ 0 ≱ 2∴ above the liney = 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