Home
Class 12
MATHS
Solve for x. {:((i)(abs(x)-1)(abs(x)-2...

Solve for x.
`{:((i)(abs(x)-1)(abs(x)-2) le 0,(ii)(abs(x)-1)/(abs(x)-2) ge 0),((iii)abs(x-3)+abs(4-x)=1,(iv)abs(x)+abs(x+4)=4):}`

Text Solution

Verified by Experts

The correct Answer is:
(i) `x in [-2,-1] cup [1,2]` (ii) `x in [-1,1] cup (-infty,-2) cup (2,infty)` (iii) `x in [3,4]` (iv) `x in [-4,0]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

Solve abs(abs(x-2)-1) ge 3 .

Solve abs(x+1)+ abs(x-1) =2 .

Solve abs(x-1) + abs(x-2) + abs(x-3)ge 6, x in R .

For abs(x-1)+abs(x-2)+abs(x-3)le6 , x belongs to

f(x)=abs(x-1)+abs(x-2)+abs(x-3) . Find the range of f(x).

Solve the equation abs(2x-1)=3absx+2x

int_(0)^(3) abs(x-2) dx=

Solve for x and y:x^(2)-y^(2)=xy-ab,(x+y)(ax+by)=2ab(a+b)

ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Solve for x. {:((i)(abs(x)-1)(abs(x)-2) le 0,(ii)(abs(x)-1)/(abs(x)-...

    Text Solution

    |

  2. If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x), then the value...

    Text Solution

    |

  3. Let F(x) be an indefinite integral of sin^(2)x Statement-1: The fun...

    Text Solution

    |

  4. Find the range of values of t for which 2sint=(1-2x+5x^2)/(3x^2-2x-1)

    Text Solution

    |

  5. Let fk(x) = 1/k(sin^k x + cos^k x) where x in RR and k gt= 1. Then f4(...

    Text Solution

    |

  6. The function f:[0,3] to [1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1 i...

    Text Solution

    |

  7. Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x sat...

    Text Solution

    |

  8. Let f:(0,1)->R be defined by f(x)=(b-x)/(1-bx), where b is constant s...

    Text Solution

    |

  9. Let f be a real-valued function defined on the inverval (-1,1) such th...

    Text Solution

    |

  10. If X and Y are two non-empty sets where f: X->Y,is function is define...

    Text Solution

    |

  11. If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, wh...

    Text Solution

    |

  12. If f(x)=sinx+cosx, g(x)=x^(2)-1, then g{f(x)} is invertible in the dom...

    Text Solution

    |

  13. Domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) fo...

    Text Solution

    |

  14. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

    Text Solution

    |

  15. If f:[0,infty) rarr [0,infty) " and " f(x)=x/(1+x), then f is

    Text Solution

    |

  16. If f:R to R be defined by f(x) =2x+sinx for x in R, then check the na...

    Text Solution

    |

  17. Let E={1,2,3,4}a n dF-{1,2}dot If N is the number of onto functions fr...

    Text Solution

    |

  18. Suppose f(x)=(x+1)^2forxgeq-1. If g(x) is the function whose graph is ...

    Text Solution

    |

  19. If f:[1,infty) rarr [2,infty) is given by f(x)=x+1/x, " then " f^(-1)(...

    Text Solution

    |

  20. Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x...

    Text Solution

    |

  21. The domain of definition of function of f(x)=(log(2)(x+3))/(x^(2)+3x+2...

    Text Solution

    |