Question

I x +2 I -4 = 6

Answer 1

|x + 2| - 4 = 6

|x + 2| = 6 + 4

|x + 2| = 10

⇒ x + 2 = 10 hay x + 2 = -10

x = 10 - 2 hay x = (-10) - 2

x = 5 hay x = -12

Answer 2

\(\left|x+2\right|-4=6\)

\(\Rightarrow\left|x+2\right|=6+4\)

\(\Rightarrow\left|x+2\right|=6+4\)

\(\Rightarrow\left|x+2\right|=10\)

\(\Rightarrow\left|x+2\right|=10\)

\(\Rightarrow\left\{{}\begin{matrix}\left|x+2\right|=10\\\left|x+2\right|=-10\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x+2=10\\x+2=-10\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=10-2\\x=-10-2\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}x=8\\x=-12\end{matrix}\right.\)

Answer 3

\(\left|x+2\right|-4=6\)

\(\Rightarrow\left|x+2\right|=10\)

\(\Rightarrow\left[{}\begin{matrix}x+2=10\\x+2=-10\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x=-12\end{matrix}\right.\)