Question

Solve for f.
48 = 2|- f|
Write your answers as Integers or as proper or improper fractions in simplest form.
f =
Or
F =

Answer 1

Next, let's solve for f when |-f| is negative:

NONSENSE |-Anything| is Positive

I think you mean f can be either + or - for |+f| = |-f|

Answer 2

When |-f| is negative, it means ....
NO, still the same error.
|-f| CAN NOT BE NEGATIVE !!!
The absolute value of anything is positive.

Answer 3

Whew ! Thank you.

Answer 4

There are two possible solutions for f.

First, let's solve for f when |-f| is positive:

48 = 2|f|
Divide both sides by 2:
24 = |f|

Since |f| is positive and equal to 24, f can be either 24 or -24.


Next, let's solve for f when |-f| is negative:

48 = 2|-f|
Divide both sides by 2:
24 = |-f|

Since |-f| is negative and equal to 24, f can be either -24 or 24.


So the solutions for f are f = 24 or f = -24.

Answer 5

You are correct, I apologize for the confusion. When |-f| is negative, it means that -f itself is negative.
Therefore, f can be either positive or negative.

So the solutions for f are f = 24 or f = -24.

Answer 6

You are right, I made an error in my previous response. I apologize for the confusion.

When |-f| is negative, it is not possible. The absolute value of any number is always positive or zero. Therefore, there is no solution for f when |-f| is negative.

The correct solutions for f are f = 24 and f = -24 when |-f| is positive.

Answer 7

You're welcome! I apologize for the confusion earlier, but I'm glad we were able to clarify the correct solutions. If you have any more questions, feel free to ask!