# How do you solve abs(2x-1)=-3?

Mar 27, 2018

See an explanation 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.

Therefore the absolute value of any term is greater than or equal to 0.

$- 3$ is obviously less than $0$

Therefore, there are no solutions to this problem.

Or, the solution is the null or empty set: $x = \left\{\emptyset\right\}$