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x-R-x-1-x-3-x-5-find-the-smallest-value-of-a-given-expression-

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Question Number 150486 by mathdanisur last updated on 12/Aug/21
x ∈ R ∣x - 1∣ + ∣x + 3∣ + ∣x - 5∣ find the smallest value of a given expression
x∈R∣x−1∣+∣x+3∣+∣x−5∣findthesmallestvalueofagivenexpression
Commented by MJS_new last updated on 12/Aug/21
a, b, c, x ∈ R ∧ a<b<c min (∣x−a∣+∣x−b∣+∣x−c∣) is at x=b and its value is c−a in this case a=−3∧b=1∧c=5 ⇒ min at x=1 value 8
a,b,c,x∈R∧a<b<cmin(∣x−a∣+∣x−b∣+∣x−c∣)isatx=banditsvalueisc−ainthiscasea=−3∧b=1∧c=5⇒minatx=1value8
Commented by mathdanisur last updated on 13/Aug/21
Thankyou Ser cool
ThankyouSercool

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