Respuesta :

Answer:

[tex] \huge \: x \in ∅[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • inequality
  • distribution
  • PEMDAS

given:

  • [tex]3(1 - 2x) > 3 - 6x[/tex]

to solve:

  • [tex]x[/tex]

let's solve:

[tex] step - 1 : define\\ 3(1 - 2x) > 3 - 6x[/tex]

[tex] step - 2: distribute\\ 3 - 6x > 3 - 6x[/tex]

[tex]step - 3 : \\ add \: 6x \: to \: both \: sides[/tex]

[tex] 3 - 6x + 6x> 3 - 6x + 6x[/tex]

[tex]3 > 3[/tex]

[tex] \therefore \: the \: statement \: is \: false \: for \: any \: value \: of \: x \: because \: both \: sides \: are \: identical[/tex]

therefore,

[tex]x \in ∅[/tex]