Home
Class 11
MATHS
If x is a real number and |x|<5, then xg...

If `x` is a real number and `|x|<5,` then `xgeq5` b. `-5

Text Solution

Verified by Experts

`|X| lt 5`
`-5 lt X lt 5`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    RD SHARMA|Exercise All Questions|300 Videos
  • MATHEMATICAL INDUCTION

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

Similar Questions

Explore conceptually related problems

If x is a real number than x^(2)+x+1 is (a) less than (3)/(4) (b) zero for at least one value of x (c) always negative (d) greater than or equal to (3)/(4)

Which of the following is the empty/non-empty set (i) {x:x"is a real number and"x^(2)-1=0} {x : x"is a real number and" x^(2)+1=0} (iii) {x : x "is a real number and" x^(2)-9=0} (iv) {x : x"is a real number and " x^(2)=x+2}

If x&y are real numbers and (y)/(x)=x, then 'y' cannot take the value(s) :

Show that the statement: p: If x is a real number such that x^(3)+x=0, then x is 0 is true by Dirtect method ii.number of contrapostive Method of contradition

Show that the statement p: "If x is a real number such that x^3+4x=0 . then x is 0" is true by (i) direct method, (ii) method of contradiction, (iii) method of contrapositive.

Show, by the method of contradiction : p : If x is a real number such that x^(3) + 8 x = 0 , then x = 0 .

RD SHARMA-LINEAR INEQUATIONS-Solved Examples And Exercises
  1. Solve the following systems of inequation graphically: \ +ygeq10 ,\ 2x...

    Text Solution

    |

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

    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 4 2. 5 3. ...

    Text Solution

    |

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

    Text Solution

    |

  9. If <7 then 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...

    Text Solution

    |

  12. If x is a real number and |x|<5, then xgeq5 b. -5<x<5 c. xlt=-5 d. -5...

    Text Solution

    |

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

    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 x in (-7, 11) b. x in [-11 ,7] c. x in (-oo,7)uu(11...

    Text Solution

    |

  16. The inequality representing the following graph is |x|<3 b. |x|lt=3 c....

    Text Solution

    |

  17. The linear inequality representing the solution set given in gig. 15.4...

    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 x in [2,oo) b. x in (2,oo) c. x in (-oo,2)...

    Text Solution

    |