Home
Class 11
MATHS
Solve each of the following system of eq...

Solve each of the following system of equations in `Rdot` `1lt=|x-2|lt=3`

Text Solution

Verified by Experts

Let,`1≤|x−2|`
`x−2≥1`
` x≥3,x≤1`
`x∈(−oo,1]∪[3,oo) `
2)`|x−2|≤3`
`|x−2|≤3`
`−3≤x−2≤3`
`−1≤x≤5`
...
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos
  • MATHEMATICAL INDUCTION

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

Solve each of the following system of equation in R:|4-x|+1<3

Solve each of the following system of equations in R.1<=|x-2|<=3

Solve each of the following system of equations in R.|x+1|+|x|>6

Solve each of the following system of equations in R.(4)/(x+1) 0

Solve each of the following system of equations in R.0<(-x)/(2)<3

Solve each of the following system of equation in R:3x-1>=5,x+2>1

Solve each of the following system of equation in R:(1)/(|x|-3)<(1)/(2)

Solve each of the following system of equations in R .|x-1|+|x-2|+|x-3|>=6

Solve each of the following system of equation in R:(|x+2|)/(x)<2

Solve each of the following system of equations in R.(1)/(|x|-3)<=(1)/(2)

RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve: (|x|-1)/(|x|-2)geq0,x in R ,x!=+-2.

    Text Solution

    |

  2. Solve: (-1)/(|x|-2)geq1,w h e r ex in R ,x!=+-2.

    Text Solution

    |

  3. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

    Text Solution

    |

  4. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

    Text Solution

    |

  5. Solve each of the following system of equations in Rdot 4/(x+1)lt=...

    Text Solution

    |

  6. Solve: |x+2|<=5

    Text Solution

    |

  7. Solve the following linear inequations: (x-3)/(x-5)>0 (ii) (x-2)/(x+5...

    Text Solution

    |

  8. Solve the following linear inequations in Rdot (2(x+3))/4-3<(x-4)/3...

    Text Solution

    |

  9. Solve the following linear inequations: (i) (x-3)/(x-5)>0 (ii) (x-2...

    Text Solution

    |

  10. Solve the following linear inequations in Rdot (2(x+3))/4-3<(x-4)/...

    Text Solution

    |

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

    Text Solution

    |

  12. Solve the following equations: 2(2x+3)-10lt=6(x-2)

    Text Solution

    |

  13. Solve the inequalities for real x : x/4<((5x-2))/3-((7x-3))/5

    Text Solution

    |

  14. In the first four papers each of 100 marks, Rishi got 95 ,72 ,73 ,8...

    Text Solution

    |

  15. Solve the following linear inequations in Rdot (5x)/2+(3x)/4geq(39)...

    Text Solution

    |

  16. Solve the following linear inequations in Rdot (2(x+3))/4-3<(x-4)/3...

    Text Solution

    |

  17. Solve each of the following system of equations in Rdot 1lt=|x-2...

    Text Solution

    |

  18. Solve each of the following system of equations in Rdot 1lt=|x-2|l...

    Text Solution

    |

  19. Solve the following linear inequation: 2x-4=0

    Text Solution

    |

  20. Solve the following linear inequation: -3x+12 < 0

    Text Solution

    |