Question

How do you solve `|x - 10| = 3`?

Answer 1

See a solution process below:

Explanation:

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

Solution 1:

`x - 10 = -3`

`x - 10 + color(red)(10) = -3 + color(red)(10)`

`x - 0 = 7`

`x = 7`

Solution 2:

`x - 10 = 3`

`x - 10 + color(red)(10) = 3 + color(red)(10)`

`x - 0 = 13`

`x = 13`

The Solution Set Is: `x = {7, 13}`