Home
Class 11
MATHS
Solve (3x-4)/2geq(x+1)/4-1. Show the gra...

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

Text Solution

Verified by Experts

`(3x-4)/2 >= (x+1)/4 - 1`
`2(3x-4) >= x-3`
`6x - 8 >= x-35x >= 5`
`x >=1`
`x in [1, oo)`
answer
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

Show the graph of the solution of 2x - 3 > X-5 on number line.

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

Solve the following inequalities and show the graph of the solution set on number line: (i) 3x-2lt2x+1 (ii) 5x-3ge3x-5 .

Solve the following inequalities and show the graph of the solution set on number line: Solve: (a) -12xgt30 (b) 30xlt200 , when: (i) x in a natural number. (ii) x is an integer.

Solve the inequalities and show the graph of the solution in each case on number line : 3(1" "" "x)" "<" "2(x" "+" "4)

Solve the inequalities and show the graph of the solution in each case on number line : 3x-2<2x+1

Solve: (2x-3)/(4)+8ge2+(4x)/(3) and show the solution set on the number line.

Solve the inequalities and show the graph of the solution in each case on number line: 5x-3>=3x-5

Solve the inequalities and show the graph of the solution in each case on number line: (x)/(2)<((5x-2))/(3)-((7x-3))/(5)

Solve 3x+5ltx-7 , when: (i) x is an integer (ii) x is a real number. Show graph of the solution set on the number line in both cases.

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

    |