Home
Class 11
MATHS
Solution set of the inequality, 2-log(2)...

Solution set of the inequality, `2-log_(2)(x^(2)+3x) ge0` is-

A

`[-4.1]`

B

`[-4.-3]cup [0,1]`

C

`(-infty, -3) cup (1, infty)`

D

`(-infty, -4) cup (1,infty)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

Solution set of the inequality 2-log_(2)(x^(2)+3x)>=0 is:

The solution set of the inequality log_(5/8)(2x^(2)-x-3/8) ge1 is-

Solution set of the inequality log_(7)((x-2)/(x-3))<0 is

Solution set of the inequality 1+log_((1)/(3))(x^(2)+x+1)>0 is

Solution set of inequality log_(10)(x^(2)-2x-2)lt=0 is

Solution set of the inequality log_(x-3)(x-1)<2 is given by:

The set of all the solution of the inequality log_(2-x) (x-3) ge 1 is :

The solution set of the inequality log_(sin((pi)/(3))(x^(2)-3x+2)>=2) is

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

    Text Solution

    |

  2. The solution set of the inequality log(5/8)(2x^(2)-x-3/8) ge1 is-

    Text Solution

    |

  3. Solution set of the inequality, 2-log(2)(x^(2)+3x) ge0 is-

    Text Solution

    |

  4. If (log(1/3))(3x-1)/(x+2) is less than unity, then 'x' must lie in the...

    Text Solution

    |

  5. if sin x + sin^2 x = 1, then the value of cos^2 x + cos^4x is

    Text Solution

    |

  6. The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1 is

    Text Solution

    |

  7. If tanA=-1/2 and tanB=-1/3, (where A, B gt 0), then A+B can be

    Text Solution

    |

  8. The value of cos^(2)48^(@)-sin^(2)12^(@) is

    Text Solution

    |

  9. The expression (sin8thetacostheta-sin6thetacos3theta)/(cos2thetacosthe...

    Text Solution

    |

  10. If 3sinalpha=5sinbeta, then (tan((alpha+beta)/2))/(tan((alpha-beta)/2)...

    Text Solution

    |

  11. (sin(A-C)+2sinA+sin(A+C))/(sin(B-C)+2sinB+sin(B+C)) is equal to-

    Text Solution

    |

  12. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=

    Text Solution

    |

  13. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

    Text Solution

    |

  14. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  15. If tanalpha=(1+2^(-x))^(-1), tanbeta=(1+2^(x+1))^(-1), then alpha+beta...

    Text Solution

    |

  16. If tanA+tanB+tanC=tanA.tanB.tanC, then-

    Text Solution

    |

  17. The value of sin10^(@)+2sin20^(@)+sin30^(@)+….+sin360^(@) is equal to

    Text Solution

    |

  18. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

    Text Solution

    |

  19. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

    Text Solution

    |

  20. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

    Text Solution

    |