Question

Find all values of X,where |x| = 11.

Answer 1

The equation to solve is:

`|x|=11`

From basic definition of absolute value, we can say,

If

`|x|=a`

Then,

`x=a,-a`

Using this definition of absolute value, we can solve this equation:

`\begin{gathered} |x|=11 \\ x=-11,11 \end{gathered}`

Answer:

`x=-11,11`