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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?

Respuesta :

[tex] \text{Josefina started to solve for x in the equation}\\
[/tex]

[tex] 3.5 = 1.9-0.8|2x- 0.6| [/tex]

[tex] \text{using the steps below:} [/tex]

[tex] 3.5 = 1.9-0.8|2x-0.6| [/tex]

[tex] 1.6 = -0.8|2x-0.6| [/tex]

[tex] -2 = |2x-0.6| [/tex]

[tex] \text{Josefina stop at Step 3 because on the right side we have mod. }\\
\text{and this mod returns only positive values}\\
\\
[/tex]

[tex] \text{But on the left hand side , we have negative value.}\\
\text{Hence False, it mean no solution exists}\\ [/tex]

Answer:

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.

Step-by-step explanation:

cuz i know