Home > Algebra > Absolute Value Equations

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

Answer 1

See an explanation below:

Since the absolute value function takes any term and converts it to a non-negative form, we have to solve the term for both its positive and negative equivalent within the absolute value function.

Consequently, every term's absolute value is greater than or equal to 0.

#-3# is obviously less than #0#

Consequently, this problem has no answers.

Or, the solution is the null or empty set: #x = {O/}#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Adamson

The absolute value of a real number cannot be negative. Therefore, the equation ( |2x - 1| = -3 ) has no solution.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.