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  • 19-10-2021
  • Mathematics
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solve compound equality
-6 < x-12 / 4 < -2

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Аноним Аноним
  • 19-10-2021

Answer:

[tex]-2<x<-\frac{2}{3}[/tex]

Step-by-step explanation:

1) Divide the whole equation by 12.

[tex]-\frac{6}{12} <\frac{x}{4} <-\frac{2}{12}[/tex]

2) Simplify.

[tex]-\frac{1}{2} <\frac{x}{4} <-\frac{1}{6}[/tex]

3) Multiply the whole equation by 4.

[tex]-\frac{1}{2} * 4<x<-\frac{1}{6} *4[/tex]

4) Simplify.

[tex]-2<x<-\frac{2}{3}[/tex]

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