Home
Class 12
MATHS
Solve ||x-1| -5| ge 2....

Solve `||x-1| -5| ge 2`.

Text Solution

Verified by Experts

`||x-1| -5| ge 2`
i.e., `|x-1| -5| le -2 " or " |x-1| -5| ge 2`
i.e., `|x-1| le 3 " or " |x-1| ge 7`
i.e., `-3 le x-1 le 3" or " x-1 le -7 " or " x-1 ge 7`
i.e., `-2 le x le 4 " or " x le -6 " or " x ge 8 `
i.e., `x in (-oo,-6]cup [-2,4] cup [8,oo)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.1|15 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.2|5 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise JEE Previous Year|12 Videos
  • Quadratic Equations, Inequalities, Modulus and Logarithms

    CENGAGE|Exercise Question Bank|28 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Solve ||x-1|-5|lt=2

Solve ||x-1|-2|<5.

Solve |x-1|+|x-2| ge 4

Solve || x-1|-2 | lt 5

Solve for x |4x - 5| ge -2

Solve |x-1|-|2x-5|=2x

Solve: (-1)/(|x|-2) ge 1 .

Solve : (|x|-1)/(|x| - 3) ge 0, x in RR, x ne pm 3 .

CENGAGE-RELATIONS AND FUNCTIONS-Examples
  1. Sol v e(|x+3|+x)/x >1

    Text Solution

    |

  2. Solve |3x-2| le (1)/(2).

    Text Solution

    |

  3. Solve ||x-1| -5| ge 2.

    Text Solution

    |

  4. Solve: (-1)/(|x|-2) ge 1.

    Text Solution

    |

  5. Solve |x-1|+|x-2| ge 4

    Text Solution

    |

  6. Solve |sinx +cos x |=|sinx|+|cosx|, x in [0,2pi].

    Text Solution

    |

  7. Solve: |-2x^2+1+e^x+sinx|=2x^2-1|+e^x+|sinx|,x in [0,2pi]dot

    Text Solution

    |

  8. Let A= (1, 2, 3, 4, 6). Let R be the relation on A defined by {(a,b) a...

    Text Solution

    |

  9. If R={(x,y): x,y in W, x ^(2)+y^(2)=25}, then find the domain and rang...

    Text Solution

    |

  10. If R(1)={(x,y)|y=2x+7, where x in R and -5 le x le 5} is a relation. T...

    Text Solution

    |

  11. Show that the relation R in the set R of real numbers, defined as R={...

    Text Solution

    |

  12. Show that the relation R in the set Z of intergers given by R ={(a,...

    Text Solution

    |

  13. Show that the relation R in the set A of points in a plane given by R...

    Text Solution

    |

  14. Show that the relation R defined in the set A of all triangles as R={(...

    Text Solution

    |

  15. Given a non-empty set X, consider P(X) which is the set of all subs...

    Text Solution

    |

  16. Examine each of the following relations given below and state in each...

    Text Solution

    |

  17. If A is set of different triangles in the plane and B is set of all po...

    Text Solution

    |

  18. A relation R is defined from N to N as R={(ab,a+b): a,b in N}. Is R ...

    Text Solution

    |

  19. Set A has m distinct elements and set B has n distinct elements. The...

    Text Solution

    |

  20. Write explicit functions of y defined by the following equations and a...

    Text Solution

    |