How do you solve abs(x-1.8)=3.2?

1 Answer
smendyka
Nov 15, 2017

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 - 1.8 = -3.2

x - 1.8 + color(red)(1.8) = -3.2 + color(red)(1.8)

x - 0 = -1.4

x = -1.4

Solution 2:

x - 1.8 = 3.2

x - 1.8 + color(red)(1.8) = 3.2 + color(red)(1.8)

x - 0 = 5.0

x = 5.0

The Solutions Are: x = {-1.4, 5.0}

Related questions
See all questions in Absolute Value Equations
Impact of this question
2309 views around the world
You can reuse this answer
Creative Commons License