Respuesta :

wegnerkolmp2741o

Answer:

A

Step-by-step explanation:

There are 2 solutions with absolute value equations

x-2 >3       or    x-2 <-3

Add 2 to each side

x-2+2>3+2   or     x-2+2 <-3+2

x>5               or       x <-1

x< -1  or x>5

This looks like boat oars

Open circle at -1  and to the left

Open circle at 5 and to the right

Amphitrite1040

Hey there!

[tex]\boxed{\boxed{\bold{Answer:A}}}[/tex] [tex]\bold{\checkmark}[/tex]

There's actually [tex]\bold{two}[/tex] possibilities in  this particular [tex]\bold{equation}[/tex]

                                                                             1.

  • [tex]\bold{x-2>3}[/tex]
  • [tex]\bold{Add}[/tex] by [tex]\bold{2}[/tex] on each of your sides
  • [tex]\bold{x-2+2>3+2}[/tex]
  • [tex]\bold{Cancel:-2+2}[/tex]
  • [tex]\bold{Keep:3+2}[/tex]
  • [tex]\bold{3+2=5}[/tex]
  • [tex]\boxed{\bold{x>5}}[/tex]

                                                                               2.

  • [tex]\bold{x-2<-3}[/tex]
  • [tex]\bold{Add}[/tex] by [tex]\bold{2}[/tex] on each of your sides (again)
  • [tex]\bold{x-2+2<-3+2}[/tex]
  • [tex]\bold{Cancel:-2+2}[/tex]
  • [tex]\bold{Keep:-3+2}[/tex]
  • [tex]\bold{-3+2=-1}[/tex]
  • [tex]\boxed{\bold{x<-1}}[/tex]

Good luck on your assignment and enjoy your day

[tex]\frak{LoveYourselfFirst:)}[/tex]