Home
Class 11
MATHS
If (|x-2|)/(x-2)geq0, then...

If `(|x-2|)/(x-2)geq0,` then

A

`x in [2,oo)`

B

`x in (2,oo)`

C

`x in (-oo,2)`

D

`x in (-oo,2]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA ENGLISH|Exercise All Questions|302 Videos
  • MATHEMATICAL INDUCTION

    RD SHARMA ENGLISH|Exercise All Questions|101 Videos

Similar Questions

Explore conceptually related problems

Solve: (|x|-1)/(|x|-2)geq0,x in R ,x!=+-2.

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

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

Solve (2x-3)/(3x-5)geq3

Solve (2x-3)/(3x-5)geq3

If x satifies |x-1|+|x-2|+|x-3|geq6, then (a) 0lt=xlt=4 (b). xlt=-2orgeq4 (c). xlt=0orxgeq4 (d). None of these

If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequality f^(prime)(x)geq0

If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequality f^(prime)(x)geq0

The solution set of the inequality (3^x-4^x)/(x^2-3x-4)geq0 is

Let A ,B ,C be three events such that P(A)=0. 3 ,P(B)=0. 4 ,P(C)=0. 8 ,P(AnnB)=0. 88 ,P(AnnC)=0. 28 ,P(AnnBnnC)=0. 09. If P(AuuBuuC)geq0. 75 , then show that 0. 23lt=P(BnnC)lt=0. 48.

RD SHARMA ENGLISH-LINEAR INEQUATIONS-All Questions
  1. Solve the following systems of inequation graphically: \ 5x+ygeq10 ,\ ...

    Text Solution

    |

  2. Show that the solution set of the following system of linear inequa...

    Text Solution

    |

  3. Write the following set of the inequation (x^2)/(x-2)> 0.

    Text Solution

    |

  4. Write the solution set of the inequation x+1/xgeq2.

    Text Solution

    |

  5. Write the solution set of the equation |2-x|=x-2.

    Text Solution

    |

  6. Writhe the set of values of x satisfying |x-1|lt=3\ a n d\ |x-1|lt=1.

    Text Solution

    |

  7. The number of integral solutions of (x+2)/(x^2+1)>1/2 is (A) 4 (B) 5 ...

    Text Solution

    |

  8. Write the solution set of the inequation |x-1|geq|x-3|dot

    Text Solution

    |

  9. If x<7 then a. -x<-7 b. -xlt=7 c. -x >-7 d. -xgeq-7

    Text Solution

    |

  10. If -3x+17<-13 ,\ t h e n x in (10 ,oo) b. x in [10 ,oo) c. x in (-oo...

    Text Solution

    |

  11. Given that x , y\ a n d\ b are real numbers and x>y , b>0 then x/b<y/...

    Text Solution

    |

  12. If x is a real number and |x|<5, then X

    Text Solution

    |

  13. If x\ a n d\ a are real numbers such that a >0 and |x|> a , then (a) x...

    Text Solution

    |

  14. If |x-1|>5, then a. x in (-4,6) b. x in [-4,6] c. x in (-oo,-4)u...

    Text Solution

    |

  15. If |x+2|lt=9, then

    Text Solution

    |

  16. Represent the graph of following inequality |x|lt=3

    Text Solution

    |

  17. The linear inequality |x|lt=5 of which write the solution set and draw...

    Text Solution

    |

  18. The solution set of the inequation |x+2|lt=5 is (-7,5) b. [-7,3] c. [-...

    Text Solution

    |

  19. If |x+3|geq10 , then x in (-13 ,\ 7] b. x in (-oo,-13)uu(7,oo) c. x i...

    Text Solution

    |

  20. If (|x-2|)/(x-2)geq0, then

    Text Solution

    |