CBSE (Arts) Class 11CBSE
Share

Solve the Following System of Inequalities Graphically: 4x + 3y ≤ 60, Y ≥ 2x, X ≥ 3, X, Y ≥ 0 - CBSE (Arts) Class 11 - Mathematics

ConceptSolution of System of Linear Inequalities in Two Variables

Question

Solve the following system of inequalities graphically: 4x + 3y ≤ 60, y ≥ 2xx ≥ 3, xy ≥ 0

Solution

4x + 3y ≤ 60 … (1)

y ≥ 2x … (2)

x ≥ 3 … (3)

The graph of the lines, 4x + 3y = 60, y = 2x, and x = 3, are drawn in the figure below.

Inequality (1) represents the region below the line, 4x + 3y = 60 (including the line 4x + 3y = 60). Inequality (2) represents the region above the line, y = 2(including the line y = 2x). Inequality (3) represents the region on the right hand side of the line, x = 3 (including the line x = 3).

Hence, the solution of the given system of linear inequalities is represented by the common shaded region including the points on the respective lines as follows.

Is there an error in this question or solution?

APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 6: Linear Inequalities
Q: 13 | Page no. 129

Video TutorialsVIEW ALL [1]

Solution Solve the Following System of Inequalities Graphically: 4x + 3y ≤ 60, Y ≥ 2x, X ≥ 3, X, Y ≥ 0 Concept: Solution of System of Linear Inequalities in Two Variables.
S