Respuesta :

absor201

The solution is: x >-2/3 or x< -2

Step-by-step explanation:

we will solve the inequalities one by one

So,

First inequality is:

[tex]-3(x-2)<8\\-3x+6<8\\-3x+6-6<8-6\\-3x < 2\\\frac{-3x}{3} < \frac{2}{3}\\-x < \frac{2}{3}\\x > -\frac{2}{3}[/tex]

Second inequality is:

[tex]-3(x-2)>12\\-3x+6>12\\-3x+6-6>12-6\\-3x>6\\\frac{-3x}{3} >\frac{6}{3}\\-x> 2\\x <-2[/tex]

The solution is: x >-2/3 or x< -2

Keywords: Inequalities, compound inequalities

Learn more about inequalities at:

  • brainly.com/question/8054589
  • brainly.com/question/7932185

#LearnwithBrainly

Yang100

Answer:

x>-2/3, x<-2

Step-by-step explanation:

-3(x-2)<8

x-2<8/-3

x<8/-3+2

x<-8/3+6/3

x<-2/3

x>-2/3

----------------

-3(x-2)>12

x-2>12/-3

x-2>-4

x>-4+2

x>-2

x<-2

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