Home
Class 11
MATHS
If x\ a n d\ a are real numbers such tha...

If `x\ a n d\ a` are real numbers such that `a >0` and `|x|> a ,` then (a) `x in (-a ,oo)` b. `x in [-oo, a)` c. `x in (-a , a)` d . `x in (-oo,-a)U(a ,oo)`

Text Solution

AI Generated Solution

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

If |x-1|>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)

If |x+2|lt=9 then x in (-7, 11) b. x in [-11 ,7] c. x in (-oo,7)uu(11 ,oo) d. x in (-oo,-7)uu[11 ,oo)

If (|x-2|)/(x-2)geq0, then x in [2,oo) b. x in (2,oo) c. x in (-oo,2) d. x in (-oo,2]

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

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

If the function f(x)=x^2-k x+5 is increasing on [2,\ 4] , then (a) k in (2,\ oo) (b) k in (-oo,\ 2) (c) k in (4,\ oo) (d) k in (-oo,\ 4)

e^(2x)-(a-1)e^x-ageq0AAx in R , then values of a which satisfy are. (a) a in (-oo,0) (b) a in (-oo,0] (c) a in R (d) a in (-oo,2]

The solution of system of linear inequalities in x represented on line as (i) x in ( - oo,-4) cup [3,oo) (ii) x in (- oo, -4] cup (5,oo) (iii) x in (- oo , -3) cup (5,oo) (iv) x in (-oo , -4) cup [ 5,oo)

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^2-1))<0 holds for all x in (-1,3) is (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

If b > a , then the equation (x-a)(x-b)-1=0 has (a) both roots in (a ,b) (b) both roots in (-oo,a) (c) both roots in (b ,+oo) (d)one root in (-oo,a) and the other in (b ,+oo)

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

    |