Home
Class 12
MATHS
If | x - 1| gt 5, then :...

If | x - 1| `gt` 5, then :

A

`x in (-4 , 6)`

B

`x in [-4,6]`

C

`x in (-oo,-4)uu(6,oo)`

D

`x in [-oo,-4]uu(6,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos
  • LINEAR PROGRAMMING

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|32 Videos

Similar Questions

Explore conceptually related problems

If x and y are real numbers such that x gt y and |x| gt |y| , then :

Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1 , when x gt 1 , then :

If x gt 1, y gt 1 , z gt 1 are in G.P., then : ( 1)/( 1+ log x ) , ( 1)/( 1+ log y ) , ( 1) /( 1 + log z ) are in :

If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x gt 0 and y=3x, x gt 0 , then a belongs to :

x and b are real numbers. If b gt 0 and |x| gt b , then

If x gt 1 , y gt 1 , z gt 1 are in G.P. , then (1)/(1 + log x) , (1)/(1 + log y) and (1)/(1 + log z) are in

Let f(x)=(x)/(1+x)-log(1+x) , when x gt 0 , then f is :

The sides of a triangle are 3x+4y , 4x+3y and 5x+5y , where x,y gt 0 , then the triangle is

If a gt 0, b gt 0 , c gt 0 are in G.P. , then : log_(a) x , log_(b) x, log_(c ) x are in :

Solve |x - 3|gt2

HIMALAYA PUBLICATION-LINEAR INEQUALITIES-QUESTION BANK
  1. Number of pairs of consecutive odd integers both of which are larger t...

    Text Solution

    |

  2. Number of pairs of consecutive even integers, both of which smaller th...

    Text Solution

    |

  3. The set of values of x for which the inequality |x-1|+|x+1| lt 4 a...

    Text Solution

    |

  4. The set of all real numbers x for which x^(2)-|x+2|+x>0 is

    Text Solution

    |

  5. The solution of 6+x-x^(2) gt 0 is :

    Text Solution

    |

  6. The number of integral solutions of (x+1)/(x^(2)+2) gt (1)/(4) is

    Text Solution

    |

  7. If S is the set of all real x such that (2 x)/(2 x^(2)+5 x+2)>(1)/(x+...

    Text Solution

    |

  8. If[x] denotes the greatest integer less than or equal to x, then the s...

    Text Solution

    |

  9. If x<5 then

    Text Solution

    |

  10. Given that x, y and b are real numbers and x lt y, b lt 0 then,

    Text Solution

    |

  11. If - 3x + 17 lt - 13 , then :

    Text Solution

    |

  12. If | x - 1| gt 5, then :

    Text Solution

    |

  13. If | x + 2 | le 9 , then :

    Text Solution

    |

  14. Solution of linear inequality in variable x, represented by the line i...

    Text Solution

    |

  15. x and b are real numbers. If b gt 0 and |x| gt b, then

    Text Solution

    |

  16. Solution of linear inequality in variable x, represented by the line i...

    Text Solution

    |

  17. Solution of linear inequality in variable x, represented by the line i...

    Text Solution

    |

  18. Solution of linear inequality in variable x, represented by the line i...

    Text Solution

    |

  19. The set of all real numbers x for which x^(2)-|x+2|+x>0 is

    Text Solution

    |

  20. The set of values of x for which the inequality |x-1|+|x+1| lt 4 a...

    Text Solution

    |