Home
Class 11
MATHS
Solve the system of inequalities graphic...

Solve the system of inequalities graphically :`5x+4ylt=20 ,xgeq1,ygeq2`

Text Solution

Verified by Experts

The correct Answer is:
N/a

First inequation : `5x + 4y le 20`
Corresponding equation : `5x + 4y = 20`
This line passes through the points A(4, 0) and B (0, 5) . Join AB. At point (0, 0) form the inequation is that region of XY-place divided by line AB in which (0, 0) lies.
`x ge 1` is that region in XY-plane which is the line x = 1 and the right side of this line.
`y ge 2` is that region in XY-plane which is the line y = 2 and above this line.

The common solution of three inequation is shown by the shaded region PQR.
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|14 Videos
  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE|76 Videos
  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|30 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN ENGLISH|Exercise Misellaneous exercise|7 Videos

Similar Questions

Explore conceptually related problems

Solve the system of inequalities graphically : 3x+2ylt=12 ,xgeq1,ygeq2

Solve the system of inequalities graphically : x+ylt=6,x+ygeq4

Solve the system of inequalities graphically : 4x+3ylt=60 ,ygeq2x ,xgeq3,x ,ygeq0 .

Solve the system of inequalities graphically : x+2ylt=10 ,x+ygeq1,x-ylt=0,xgeq0,ygeq0.

Solve the system of inequalities graphically : x-2ylt=3,3x+4ygeq12 ,xgeq0,ygeq1 .

Solve the system of inequalities graphically : x+ylt=9,y > x ,xgeq0

Solve the system of inequalities graphically : xgeq3,ygeq2

Solve the system of inequations graphically: xge1, yle4

Solve the system of inequalities graphically : x+y >4,2x-y >0

Solve the system of inequalities graphically : 2x+ygeq8,x+2ygeq10