sstewart2004
sstewart2004 sstewart2004
  • 22-10-2021
  • Mathematics
contestada

Solve -2 < 2x + 4 < 12 for x

Respuesta :

clouter
clouter clouter
  • 22-10-2021

Answer:

[tex]-3<x<4[/tex]

Step-by-step explanation:

[tex]-2<2x+4<12[/tex]

We want to isolate [tex]x[/tex].

Subtract 4 from all sides:

[tex]-2-4<2x+4-4<12-4[/tex]

[tex]-6<2x<8[/tex]

Divide all sides by 2:

[tex]\frac{-6}{2} <\frac{2x}{2} <\frac{8}{2}[/tex]

[tex]-3<x<4[/tex]

Hope this helped.

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