Question

Analyzing the procedure used to solve an absolute value equation 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

Josefina stopped at step 3 because there are no solutions for the equation in step 3 due to the absolute value being equal to a negative number.

Step-by-step explanation:

Josefina stopped at step 3 because she had found the solutions for the absolute value equation. In step 3, she simplified the equation to |2x - 0.6| = -2, which means the absolute value of 2x - 0.6 is equal to a negative number. However, absolute values cannot be negative, so there are no solutions for the equation.