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

Sample Respnse: Josefina saw that the absolute value was equal to a negative value. Since absolute values represent distances from values, they cannot be negative. Therefore, she knew there was no viable answer.

Explanation:

Answer 2

She stopped because:
| 2 x - 0.6 | ≠ -2 . It is absolute value and it can´t be equal to the negative number.
This equation has no solution.