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:

$x=-11,11$