Question

Select the graph of the solution. Click until the correct graph appears.

|x| = 3

Answer 1

We want to find the graph of:

|x| = 3

Remember how the absolute value function works:

|x| = x if x ≥ 0

|x| = -x if x < 0

Then for the equation:

|x| = 3

We have two possible values of x:

x = 3

|3| = 3

and x = -3

|-3| = -(-3) = 3

Then the graph of this equation is two vertical lines, one at:

x = 3

and another at:

x = -3

The graph can be seen below: