josefina started to solve for x in the equation 3.5 = 1.9 - 0.8|2x - 0.6| using the steps below: 1. 3.5 =…

josefina started to solve for x in the equation 3.5 = 1.9 - 0.8|2x - 0.6| using the steps below: 1. 3.5 = 1.9 - 0.8|2x - 0.6| 2. 1.6 = -0.8|2x - 0.6| 3. -2 = |2x - 0.6| why did josefina stop at step 3?

josefina started to solve for x in the equation 3.5 = 1.9 - 0.8|2x - 0.6| using the steps below: 1. 3.5 = 1.9 - 0.8|2x - 0.6| 2. 1.6 = -0.8|2x - 0.6| 3. -2 = |2x - 0.6| why did josefina stop at step 3?

Answer

Explanation:

Step1: Recall absolute - value property

The absolute - value of a number, denoted as (|a|), is always non - negative, i.e., (|a|\geq0) for any real number (a).

Step2: Analyze Step 3

In Step 3, we have (- 2=|2x - 0.6|). But the left - hand side is (-2) (a negative number), and the right - hand side (|2x - 0.6|) is non - negative by the definition of absolute value. So, there are no real solutions to this equation.

Answer:

There are no real solutions because the absolute - value of a number cannot be negative, and in Step 3, the equation has a negative value equal to an absolute - value expression.