Home
Class 12
MATHS
If S is the set of all real x such that ...

If S is the set of all real x such that `(2 x)/(2 x^(2)+5 x+2)>(1)/(x+1)` then S is equal to

A

(-2,-1)

B

`(-(2)/(3), 0)`

C

`(-(2)/(3),-(1)/(2))`

D

`(-2,-1)uu(-(2)/(3),-(1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Find the set of all x for which (2x)/((2x^2+5x+2))>1/((x+1))dot

lim_(x-1)(tan(x^(2)-1))/(x-1) is equal to

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

For real x, the equation |(x)/(x-1)| + |x| = (x^2)/(|x-1|) has

If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100 , then f^(')(1) is equal to

int_(-1)^(1) (x^3 + |x| + 1)/(x^2 + 2|x| + 1) dx is equal to :

The value of int(e^(x)((1+x^(2))tan^(-1)x+1))/(x^(2)+1)dx is equal to

Solve the inequality for real x : (1)/(2) ((3x)/( 5) +4) ge (1)/(3) (x-6)

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

    |