Question

\(10-|x+1|=5\)

Answer 1

\(10-\left|x+1\right|=5\)

\(\Rightarrow\left|x+1\right|=5\)

\(\Rightarrow\left[{}\begin{matrix}x+1=5\\x+1=-5\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=4\\x=-6\end{matrix}\right.\)

Answer 2

`10 - |x+1|=5`

`|x+1|=10-5`

`|x+1|=5`

`@TH1 :

`x+1=-5`

`x=-5-1`

`x=-6`

`@TH2:`

`x+1=5`

`x=5-1`

`x=4`

Vậy `x= {-6;4}`

Answer 3

`10 - |x+1| = 5`

`|x-1| = 5`

`=>` \(\left[{}\begin{matrix}x-1=5\\x-1=-5\end{matrix}\right.\)

`<=>` \(\left[{}\begin{matrix}x=6\\x=-4\end{matrix}\right.\)

Answer 4

\(10-\left|x+1\right|=5\)

\(\left|x+1\right|=10-5\)

\(\left|x+1\right|=5\)

\(\Rightarrow x+1=\pm5\Rightarrow\left[{}\begin{matrix}x+1=5\\x+1=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-6\end{matrix}\right.\)

Answer 5

\(10 − | x + 1 | = 5\)

\(| x + 1 |=10-5\)

\(\Leftrightarrow\left[{}\begin{matrix}x+1=5\\x+1=-5\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=5-1\\x=-5-1\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-6\end{matrix}\right.\)

Answer 6

10 - |x + 1| = 5

x + 1 = 10 - 5

x + 1 = 5

chia thành 2 trường hợp :

trường hợp 1 : 

x + 1 = 5

x = 5 - 1

x = 4

trường hợp 2 :

x + 1 = -5

x = (-5) - 1

x = - 6

vậy x ∈ { 5 ; -6 }