Question

Solve and graph the equation.
|x| = 11

Answer 1

To solve the equation |x| = 11, we need to find the values of x that satisfy this equation.

There are two possibilities:

1) x is positive:

If x is positive, then the equation becomes x = 11.

2) x is negative:

If x is negative, then the equation becomes -x = 11. We can solve for x by multiplying both sides of the equation by -1, which gives us x = -11.

Therefore, the solutions to the equation |x| = 11 are x = 11 and x = -11.

To graph these solutions, we can plot the points (11, 11) and (-11, -11) on the number line, which represents the x-axis.

Here is the graph:

-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
Numbers: ----- |-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----| -----
-11 0 11