alevans8033 alevans8033
  • 20-05-2020
  • Mathematics
contestada

Simplify (write without the absolute value sign)

|x+3|, if x>2

Respuesta :

cristhiansanchez94 cristhiansanchez94
  • 25-05-2020

Answer:

Step-by-step explanation

Note that if x>2, then x+3>3+2=5. Then x+3>0. Recall that the absolute value function is defined as

[tex]|x|=x \text{ if } x\geq 0[/tex]

[tex]|x|=-x \text{ if } x< 0[/tex]

Since x+3>0, we have that |x+3|=x+3

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