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

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

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Solve ||x-2|-3|lt 5

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

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

Solve |x-1|-|x+3|lt6 graphically

Complete set of values of x satisfying inequality ||x-1|-5| lt 2x -5 is

Solve : (|x-1|-3)(|x+2|-5) lt 0 .

Solve log_(2)|x-1| lt 1 .

Solve |2^x-1|+| 4-2^x| lt 3

Solve |x^(2)-1|+|x^(2)-4|lt6 graphically.

Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the graphical method.

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  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|lt=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+cosx|=|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].

    Text Solution

    |

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

    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. Prove that the relation R in set A = {1, 2, 3, 4, 5} 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 subset...

    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

    |