Respuesta :

Answer:

Concept: Inequality

  1. (-4<x<0)
  2. In interval notation (-4,0)
  3. Hence x= -4

Value of x for inequality |x+2| <2​ is equals to -4< x < 0 .

As per graph solution of the given inequality is ( -4 , 0).

What is inequality?

" Inequality is defined as the given variables are related using sign of inequality such as <, > , ≤, ≥ as per given condition."

According to the question,

Given inequality,

[tex]|x+2| < 2​\\\\\implies-2 < (x+2) < 2\\\\\implies -2-2 < x+2-2 < 2-2\\\\\implies -4 < x < 0[/tex]

As per graph drawn solution of the given inequality is ( -4 , 0).

Hence, Value of x for inequality |x+2| <2​ is equals to -4< x < 0 .

As per graph solution of the given inequality is ( -4 , 0).

Learn more about inequality here

https://brainly.com/question/20383699

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