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Rewrite each equation without absolute value for the given conditions
y=|x-5|+|x+5| if x>5
y=|x-5|+|x+5| if x<-5
y=|x-5|+|x+5| if -5

Respuesta :

mhanifa

Step-by-step explanation:

Condition 1

x > 5, both terms are positive

  • y = x - 5 + x + 5 = 2x

Condition 2

x < - 5, both terms are negative

  • y = - (x - 5) - (x + 5) = - x + 5 - x - 5 = - 2x

Condition 3

This is not clear

If x>5

  • Terms are positive

Hence..

  • y=x-5+x+5=2x

If x<-5 terms are negative

  • y=-x+5-x-5=-2x

If x=-5

  • y=|-5-5|+|-5+5|
  • y=|-10|
  • y=10

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