Home
Class 11
MATHS
Solve the following system of inequaliti...

Solve the following system of inequalities graphically
`5x+4ylt=40` ... (1)
`xgeq2` ...(2)
`ygeq3` ...(3)

Text Solution

Verified by Experts

Draw the graph of the line `5x + 4y = 40, x = 2 and y = 3`.
Then we note that the inequality (1) represents shaded region below the line `5x + 4y = 40` and inequality (2) represents the shaded region right of line `x = 2` but inequality (3) represents the shaded region above the line `y = 3`.
Hence, shaded region including all the point on the lines are also the solution of the given system of the linear inequalities.
`[XI_06_SLV_13]`
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NCERT|Exercise EXERCISE 6.2|10 Videos
  • LINEAR INEQUALITIES

    NCERT|Exercise EXERCISE 6.3|15 Videos
  • LIMITS AND DERIVATIVES

    NCERT|Exercise EXERCISE 13.3|8 Videos
  • MATHEMATICAL REASONING

    NCERT|Exercise EXERCISE 14.3|4 Videos

Similar Questions

Explore conceptually related problems

Solve the system of inequalities graphically: x>=3,y>=2

Solve the system of inequalities graphically: 3x+2y =0

Solve the system of inequalities graphically: x+y =4

Solve the following system of equations graphically: 2x+3y=8;x+4y=9

Solve the following systems of inequations graphically 5x+4yle20,xge1,yge2 .

Solve the system of inequalities graphically: quad x+y x,x>=0

Solve the system of inequalities graphically: 5x+4y =1,y>=2

Solve the system of inequalities graphically: 3x+2y =1,y>=2

Solve the system of inequalities graphically: 3x+4y =0,y>=0

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

NCERT-LINEAR INEQUALITIES-SOLVED EXAMPLES
  1. Solve 3x + 2y > 6graphically.

    Text Solution

    |

  2. Find all pairs of consecutive odd natural numbers, both of which are ...

    Text Solution

    |

  3. Solve 7x + 3 < 5x + 9. Show the graph of the solutions on number line...

    Text Solution

    |

  4. Solve (5-2x)/3lt=x/6-5.

    Text Solution

    |

  5. The marks obtained by a student of Class XI in first and second termi...

    Text Solution

    |

  6. Solve (3x-4)/2geq(x+1)/4-1. Show the graph of the solutions on number ...

    Text Solution

    |

  7. Solve 30 x<200when(i) x is a natural number, (ii) x is an integer.

    Text Solution

    |

  8. Solve 4x+3<6x+7.

    Text Solution

    |

  9. Solve 5x-3<3x+1when (i) x is an integer, (ii) x is a real number.

    Text Solution

    |

  10. A manufacturer has 600 litres of a 12% solution of acid. How many lit...

    Text Solution

    |

  11. Solve the following system of linear inequalities graphically. x+ygeq...

    Text Solution

    |

  12. Solve the following system of inequalities graphically 5x+4ylt=40 ...

    Text Solution

    |

  13. Solve 3x-6geq0 graphically in two dimensional plane.

    Text Solution

    |

  14. Solve y<2 graphically.

    Text Solution

    |

  15. Solve -8lt=5x-3<7.

    Text Solution

    |

  16. Solve -5lt=(5-3x)/2lt=8.

    Text Solution

    |

  17. Solve the following system of inequalities 8x+3ylt=100 ...(1) xg...

    Text Solution

    |

  18. Solve the following system of inequalities graphically x+2ylt=8 ...(...

    Text Solution

    |

  19. Solve the system of inequalities : 3x-7<5+x, 11-5xlt=1 and represent...

    Text Solution

    |

  20. In an experiment, a solution of hydrochloric acid is to be kept betwe...

    Text Solution

    |