rljgilmore rljgilmore
  • 11-06-2019
  • Mathematics
contestada

Which number line represents the solutions to |x – 2| = 6?

Respuesta :

calculista
calculista calculista
  • 12-06-2019

Answer:

The solutions are x=8 and x=-4

Step-by-step explanation:

we have

[tex]\left|x-2\right|=6[/tex]

step 1

Find the first solution

case positive

[tex]+(x-2)=6[/tex]

[tex]x=6+2=8[/tex]

step 2

Find the second solution

case negative

[tex]-(x-2)=6[/tex]

[tex]-x+2=6[/tex]

[tex]x=2-6=-4[/tex]

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