Home
Class 12
MATHS
Sol v e :(x^2-4x+7)/(x^2-7x+12)lt=2/3dot...

`Sol v e :(x^2-4x+7)/(x^2-7x+12)lt=2/3dot`

Text Solution

Verified by Experts

`frac{3(x^2-4x+7)-2(x^2-7x+12)}{3(x^2-7x+12)}<=0`
`frac{x^2+2x-3}{x^2-7x+12}<=0`
`frac{(x-1)(x+3)}{(x-4)(x-3)}<=0`
`x in (-3, 1) cup (3, 4)`
Promotional Banner

Topper's Solved these Questions

  • HIGHER ORDER DERIVATIVES

    RD SHARMA|Exercise Solved Examples And Exercises|176 Videos

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

Similar Questions

Explore conceptually related problems

Solve: (x^(2)-4x+7)/(x^(2)-7x+12)<=(2)/(3)

What is (x^2-3x+2)/(x^2-5x+6) div (x^2-5x+4)/(x^2-7x+12) equal to

Solve : (5x - 2)/(3) lt (4x-7)/(2)

4x^(3)-7x^(2)-x-2

(x^(2)-7x+12)/(2x^(2)-4x+5)>0

If (x^(2) - x - 1)^(x^(2) - 7x + 12) = 1 then

Solve for x : 7x-(4x-3)=2x-5

Solve: (4x+17)/(18)-(13 x-2)/(17 x-32)+x/3=(7x)/(12)-(x+16)/(36)

RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
  1. Find the intervals in which the function f(x)=2x^3+9x^2+12 x+20 is (i)...

    Text Solution

    |

  2. Find the intervals in which f(x)=-x^2-2x+15 is increasing or decreasin...

    Text Solution

    |

  3. Sol v e :(x^2-4x+7)/(x^2-7x+12)lt=2/3dot

    Text Solution

    |

  4. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

    Text Solution

    |

  5. Determine the values of x for which f(x)=x^x , x >0 is increasing or d...

    Text Solution

    |

  6. Show that f(x) = 2x + cot^-1 x + log(sqrt(1+x^2)-x) is increasing in R

    Text Solution

    |

  7. Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasin...

    Text Solution

    |

  8. Find the intervals in which f(x)=x/(logx) is increasing or decreasing.

    Text Solution

    |

  9. Show that f(x)=cos(2x+pi/4) is an increasing function on (3pi//8,7pi/...

    Text Solution

    |

  10. Show that for a >=1,f(x)=sqrt(3)sinx-cosx-2a x+b is decreasing on Rdot

    Text Solution

    |

  11. Find the values of a for which the function f(x)=(a+2)x^3-3a x^2+9a x-...

    Text Solution

    |

  12. If a , b , c are real numbers, then find the intervals in which f(x)=|...

    Text Solution

    |

  13. Find the intervals in which f(x)=(x-1)^3(x-2)^2 is increasing or decre...

    Text Solution

    |

  14. Find the intervals in which f(x)=(4x^2+1)/x is increasing or decreasin...

    Text Solution

    |

  15. Determine the intervals in which the function f(x)=x^4-8x^3+22 x^2-24 ...

    Text Solution

    |

  16. Find the intervals for which f(x)=x^4-2x^2 increasing or decreasing.

    Text Solution

    |

  17. Determine the values of x for which f(x)=(x-2)/(x+1)x!=-1 is increasin...

    Text Solution

    |

  18. Find the intervals in which f(x)=x/2+2/x , x!=0 is increasing or decre...

    Text Solution

    |

  19. For which values of x , the function f(x)=x/(x^2+1) is increasing and ...

    Text Solution

    |

  20. Find the intervals in which f(x)=(4x^2+1)/x is increasing or decreasi...

    Text Solution

    |