Question

The minimum value of the expression |x-p|+|x-15| +|x-p-15|for 'x' in the range p≤x≤15,where 0<x<15 is?​

Answer 1

$\huge\star{\underline{\underline{\tt{\red{\mid{Answer \implies 15}}}}}}\star$

$\large{\mathbb{\green{\underline{Explanation}}}}$

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|x-p|+|x-15|+|x-p-15|

We have Been given that,

p≤0≤15 ___________[1]

So we will do as follows

$\implies$+x-15-x+15-x+p+15

$\implies$(-x+30)

let it's Minimum value be A

therefore,

A=(-x+30)

for A to be Minimum We will take x as the maximum

So from [1]

A=(-15+30)

$\huge\implies$A=15

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Answer 2

Answer:

=15

________________________________

|x-p|+|x-15|+|x-p-15|

We have Been given that,

p≤0≤15 ___________[1]

So we will do as follows

--->+x-15-x+15-x+p+15

-->(-x+30)

let it's Minimum value be A

therefore,

A=(-x+30)

for A to be Minimum We will take x as the maximum

So from [1]

A=(-15+30)

A=15