Question

Solve each inequality.

$|x+4|>2$

Short answer

The value of the given inequality is $\left(-2,-6\right).$

Step-by-step solution

Step 1- Given information

An inequality$|x+4|>2$.

Step 2- To solve the inequality

From the given information,

$\begin{array}{l}|x+4|>2\\ \Rightarrow -2>x+4>2\\ \Rightarrow -2-4>x>2-4\\ \Rightarrow -6>x>-2\\ \Rightarrow -2<x<-6\end{array}$

Step 3- Conclusion

Therefore, the $|x+4|>2=-2<x<-6$.

Hence, the value of the given inequality is $\left(-2,-6\right).$