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|x-1|lt 2...

`|x-1|lt 2 `

Text Solution

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The correct Answer is:
`x in (-1,3)`
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Find the solution set of the inequation |x-1|lt2 .

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Knowledge Check

  • solve ||x-2|-1|lt 2

    A
    `(-2,5)`
    B
    `(-1,5)`
    C
    `(-2,-1)`
    D
    `(0,5)`

  • The solution set of the inequation |x+1| lt x+2 is ______.

    A
    `x gt -1`
    B
    `x gt (-5)/(2)`
    C
    `x gt (-7)/(4)`
    D
    `x gt (-3)/(2)`

  • If 5x - 5 (3x -2) lt 4x -1 lt 2 + 2x, then x can take which of the following values ?

    A
    2
    B
    1
    C
    `-1`
    D
    `-2`

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    Solve: -2le6x-1lt2 .

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    Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-1)gt0.

    If 3x - 5 (x-1) gt 2x -1 lt 2 + 4x, then x can take which of the following values ?

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