If x satisfies |x−$$1$$|$$+$$|x−$$2$$|$$+$$|x−$$3$$|≥$$6$$, then

Correct option is 3x≤0 or x≥4

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$If x satisfies | x - 1 | + | x - 2 | + | x - 3 | \geq 6, then$

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0≤x≤4

x≤−2 or x≥4

x≤0 or x≥4

None of these

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detailed solution

Correct option is C

Let |x−1|+|x−2|+|x−3|<6⇒ |(x−1)+(x−2)+(x−3)|<|x−1|+|x−2|+|x−3|<6⇒ |3x−6|<6⇒ |x−2|<2⇒ −2

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If x satisfies |x−1|+|x−2|+|x−3|≥6, then

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$If x satisfies | x - 1 | + | x - 2 | + | x - 3 | \geq 6, then$