Question

Josefina started to solve for x in the equation
3.5 = 1.9 – 0.8|2x – 0.6| using the steps below:
3.5 = 1.9 – 0.8|2x – 0.6|
1.6 = –0.8|2x – 0.6|
–2 = |2x – 0.6|
Why did Josefina stop at Step 3?

Answer 1

She stopped because the equation has no solution. Absolute value on the right side of the equation is always positive ( the non-negative value) and there is result -2 on the left side of equation. x ∈ ∅

Answer 2

Yes indeed there are no solutions, and step number 3 is to divide both sides by -0.8