Question

Question content area top
Part 1
Solve and graph the equation.
StartAbsoluteValue x EndAbsoluteValueequals5
Question content area bottom
Part 1
Select the correct choice​ and, if​ necessary, fill in the answer box in your choice below.
A.
xequals
  
enter your response here
​(Simplify your answer. Use a comma to separate answers as​ needed.)
B.
There is no solution.

Answer 1

To solve the equation \( |x| = 5 \), we need to consider the definition of absolute value. The equation \( |x| = 5 \) means that \( x \) can either be 5 or -5.

So, the solutions are:
\[
x = 5 \quad \text{or} \quad x = -5
\]

In conclusion, there are two solutions.

For the graph, you can plot the two points on a number line:

- Mark a point at \( x = 5 \)
- Mark another point at \( x = -5 \)

So, the correct answer from the options given is:

A. \( x = 5, -5 \)