Respuesta :

Answer:

D. {-2,12}

Step-by-step explanation:

you have to the equation with the answer being both negative and positive because it is absolute value...

c-5= 7                       c-5= -7

add 5 to both sides on both equations

c-5= 7       and        c-5= -7

 +5                            +5

c= 12        and           c= -2

This probably doesnt help that much i tried.... :)

Answer:

[tex] \huge \: x = \{ - 2, 12 \}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • absolute value
  • absolute value equation
  • PEMDAS

tips and formulas:

  • [tex] |u| = a < = > u = ±a \: (always)[/tex]

given:

  • [tex] |c - 5| = 7[/tex]

to find:

  • [tex]c[/tex]

let's solve:

[tex]step - 1 : define[/tex]

[tex] |c - 5| = 7[/tex]

[tex]step - 2 : \\ rewrite \: the \: absolute \: value\: equation \: as \: two \: separare \: equation[/tex]

[tex]c - 5 = 7 \\ c - 5 = - 7[/tex]

[tex]step - 3 : simplify[/tex]

[tex]c = 12 \\ c = - 2[/tex]

[tex] \huge \: x = \{ - 2, 12 \}[/tex]