Advertisement Remove all ads

# Solve the following system of inequalities graphically.x + y ≥ 4, 2x – y ≤ 0 - Mathematics and Statistics

Graph

Solve the following system of inequalities graphically.
x + y ≥ 4, 2x – y ≤ 0

Advertisement Remove all ads

#### Solution

To find graphical solution, construct the table as follows:

 Inequation Equation Double Intercept form Points (x, y) Region x + y ≥ 4 x + y = 4 "x"/4 + "y"/4 = 1 A (4, 0),B (0, 4) 0 + 0 ≱ 4∴ 0 ≱ 4∴ non-origin side x – y ≤ 0 2x – y = 0 – O (0, 0),D (2, 4) 2(0) – 0 ≤ 0∴ 0 ≤ 0∴ origin side

The shaded portion represents the graphical solution.

Is there an error in this question or solution?
Advertisement Remove all ads

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 8 Linear Inequations
Miscellaneous Exercise 8 | Q 4 | Page 122
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?