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

Solve the following system of inequalities
`8x+3ylt=100` ...(1)
`xgeq0` ...(2)
`ygeq0` ...(3)

Text Solution

Verified by Experts

The graph of the line `8x + 3y = 100`.
The inequality `8x + 3y le 100` represents the shaded region below the line, including the points on the line `8x +3y =100`.
Since `x ge 0, y ≥ 0`, every point in the shaded region in the first quadrant, including the points on the line and the axes, represents the solution of the given system of inequalities.
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 following system of inequations: 3x-1ge5,x+2gt-1

Solve the following system of inequations: 4x-5lt11,-3x-4ge8 .

Solve the following system of inequalities graphically 5x+4ylt=40 . . . (i) xgeq2 . . . (ii) ygeq3 . . . (iii)

Solve the following inequalities : ||x-2|-3|le0

Solve the following inequalities: |1+(3)/(x)|>2

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

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

Solve the following system of inequalities graphically x+2ylt=8 . . . (i) 2x+ylt=8 . . . (ii) xgeq0 . . . (iii) ygeq0 . . . (iv)

Solve the following inequations (x-1)^(2)<=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

    |