docpriyamail
docpriyamail docpriyamail
  • 01-05-2020
  • Mathematics
contestada

Rewrite without absolute value

y=|x−5|+|x+5|, if x<−5

thank you

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Kristiechi
Kristiechi Kristiechi
  • 01-05-2020

y = | x -5| + |x+5|

as range of x is

-5 < x < 5

we can see if we put x = 0 we get

y = 10

we put any value of x in given range first term is always negative without absolute. and 2nd term is always positive

so

y = | x -5| + |x+5|

= -( x-5) + x + 5

= - x + 5 + x + 5

= 10

so

y = 10 where -5 < x < 5

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