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For abs(x-1)+abs(x-2)+abs(x-3)le6, x bel...

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

A

`0lexle4`

B

`xle0` or `xge4`

C

`xle-2` or `xge4`

D

none of these

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

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

Knowledge Check

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

    A
    least value of f(x) is 4
    B
    least value is not attained at unique point
    C
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    D
    the value of `(f(pi-1)+f(e))/(2f(12/5))` is 1

  • If abs(x-2) lt 3 then :

    A
    `1 lt x lt 5`
    B
    `-1 ltx lt 2`
    C
    `-1 lt x lt 5`
    D
    `0 lt x lt 6`

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