Kennedylouisell Kennedylouisell
  • 17-03-2020
  • Mathematics
contestada

how do you solve |x-5|[tex]\geq[/tex]3

Respuesta :

marcthemathtutor
marcthemathtutor marcthemathtutor
  • 17-03-2020

Answer:

x ≥ 8 or x ≤ 2

Step-by-step explanation:

(see attached graphic for reference)

|x-5| ≥ 3   (expand absolute value expression)

(x-5) ≥ 3

x ≥ 3 + 5

x ≥ 8  (first answer)

or

(x-5) ≤ -3

x ≤ -3 + 5

x ≤ 2 (second answer)

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