Advertisement Remove all ads

Solve the following system of inequalities graphically 2x + y ≥ 8, x + 2y ≥ 10 - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Graph

Solve the following system of inequalities graphically.
2x + y ≥ 8, x + 2y ≥ 10

Advertisement Remove all ads

Solution

To find graphical solution, construct the table as follows:

Inequation Equation Double Intercept
form
Points
(x, y)
Region
2x + y ≥ 8 2x + y = 8 `"x"/4 + "y"/8` = 1 A (4, 0),
B (0, 8)
2(0) + 0 `≱ ` 8
∴ 0 `≱ ` 8
∴ non-origin side
x + 2y ≥ 10 x + 2y = 10 `"x"/10 + "y"/5` = 1 C (10, 0),
D (0, 5)
0 + 2(0) `≱` 10
∴ 0 `≱ ` 10
∴ non-origin side


The shaded portion represents the graphical solution.

Concept: Graphical Solution of Linear Inequality of Two Variable
  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 7 | Page 122
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×