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

1 Answer
smendyka
Mar 10, 2018

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}

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