Home
Class 14
MATHS
If x satisfies |x-1|+x|x-2|+|x-3|ge6, th...

If x satisfies `|x-1|+x|x-2|+|x-3|ge6`, then
A) `0 lexle4`
B) `xle-2` or `xge4`
C) `x le0` or `x ge4`,
D) none of these

A

`0 le x le 4`

B

`x le -2` or `x ge 4`

C

`x le 0` or `x ge 4`

D

`x le -1` or `x ge 5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES

    DISHA PUBLICATION|Exercise Practice Exercises (Expert Level)|11 Videos
  • INEQUALITIES

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • INEQUALITIES

    DISHA PUBLICATION|Exercise Practice Exercises (Foundation Level)|14 Videos
  • GEOMETRY

    DISHA PUBLICATION|Exercise TEST YOURSELF |3 Videos
  • INTEREST

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

If x satisfies |x-1|+|x-2|+|x-3|ge6 then (A) 0lexle4 (B) xle-2or xge4 (C) xle0or xge4 (D) xge0

x + 2y le 10, x + y ge 1, x-y le 0, x ge 0, yge 0

3x + 4y le 60, x ge 2y , x ge1 , y ge 0

x + y le 10, 4x + 3y le 24, x ge , x ge 0, y ge 0

x-y le 2, x + y le 4 , x ge 0, y ge

y - 2x le 1, x + y le 2, x ge 0, y ge 0

x-2y le 2 , x +y le 3,-2x +y le 4, x ge 0,y ge 0

x +2y le 3, 3x + 4y ge 12 , x ge 0, y ge 1

2x + y le 6, x + 2y le 8, x ge 0, y ge 0

DISHA PUBLICATION-INEQUALITIES-Practice Exercises (Standard Level)
  1. If x^(2) + x + (1)/(x^(2)) + (1)/(x) lt 0, then which of the following...

    Text Solution

    |

  2. Find the area of the quadrilateral formed by the solution set of the i...

    Text Solution

    |

  3. The solution set of inequality |x-1|+|x+1| lt 4 is

    Text Solution

    |

  4. If x in R and alpha = (x^(2))/((1+x^(4))), thens

    Text Solution

    |

  5. If x is real and find the limits between which x must lie , when |(x^(...

    Text Solution

    |

  6. If 6 ge x ge -2 and 4 ge y ge -4, find the limits for (y)/(x), where x...

    Text Solution

    |

  7. Which of the following shaded regions shows the graph of the inequalit...

    Text Solution

    |

  8. If x satisfies |x-1|+x|x-2|+|x-3|ge6, then A) 0 lexle4 B) xle-2 or...

    Text Solution

    |

  9. The shaded portion of figure shows the graph of which of the following...

    Text Solution

    |

  10. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

    Text Solution

    |

  11. For the real numbers p, q, r, x, y, let p lt x lt q and p lt y lt r. W...

    Text Solution

    |

  12. What is the value of m which satisfies 3m^(2) - 21m + 30 lt 0 ?

    Text Solution

    |

  13. Which of the following values x do not satisfy the inequality (x^(2) -...

    Text Solution

    |

  14. Given that -1 le v le 1, -2 le u le -0.5 and -2 le z le -0.5 and w = ...

    Text Solution

    |

  15. A real number x satisfying 1-(1)/(n) lt x le 3 + (1)/(n), for every po...

    Text Solution

    |

  16. If |b| ge 1 and x = -|a|b, then which one of the following is necessa...

    Text Solution

    |

  17. The number of solutions of the equation 2x + y = 40 where both x and y...

    Text Solution

    |

  18. If a, b and c are three real numbers, then which of the following is N...

    Text Solution

    |

  19. x and y are real numbers satisfying the conditions 2 lt x lt 3 and -8 ...

    Text Solution

    |